ideal

ca-adj

ideal m or f (masculine and feminine plural ideals)


ideal

Pertaining to ideas, or to a given idea.

The idea of ghosts is ridiculous in the extreme; and if you continue to be swayed by ideal terrors —

1796, Matthew Lewis, The Monk, Folio Society, published 1985, page 256:

Life and death appeared to me ideal bounds, which I should first break through, and pour a torrent of light into our dark world.

1816 June – 1817 April/May (date written), [Mary Shelley], “Chapter 4”, in Frankenstein; or, The Modern Prometheus. […], volume (please specify |volume=I to III), London: […] [Macdonald and Son] for Lackington, Hughes, Harding, Mavor, & Jones, published 1 January 1818, →OCLC:

At first, he began to doubt the reality of his adventures, but the acute pain in his shoulders when he attempted to rise, assured him that the kicking of the goblins was certainly not ideal.

1836 March – 1837 October, Charles Dickens, “(please specify the chapter name)”, in The Posthumous Papers of the Pickwick Club, London: Chapman and Hall, […], published 1837, →OCLC:

Existing only in the mind; conceptual, imaginary.

1751 April 13, Samuel Johnson, The Rambler, Number 112, reprinted in 1825, The Works of Samuel Johnson, LL. D., Volume 1, Jones & Company, page 194,
There will always be a wide interval between practical and ideal excellence; […] .

the ideal theory or philosophy

Teaching or relating to the doctrine of idealism.

ideal point

An ideal triangle in the hyperbolic disk is one bounded by three geodesics that meet precisely on the circle.

(mathematics) Not actually present, but considered as present when limits at infinity are included.

en-adj

ideal (comparative more ideal, superlative most ideal)

more ideal (comparative)
most ideal (superlative)

From French idéal, from Late Latin ideālis (“existing in idea”), by surface analysis, idea + -al, from Latin idea (“idea”); see idea.
In mathematics, the noun ring theory sense was first introduced by German mathematician Richard Dedekind in his 1871 edition of a text on number theory. The concept was quickly expanded to ring theory and later generalised to order theory. The set theory and Lie theory senses can be regarded as applications of the order theory sense.


ideal

A thing which exists in the mind but not in reality; in ontological terms, a thing which has essence but not existence.

Ideals are like stars; you will not succeed in touching them with your hands. But like the seafaring man on the desert of waters, you choose them as your guides, and following them you will reach your destiny - Carl Schurz

With great humility, I call upon all Americans to help me keep our nation united in defense of those ideals which have been so eloquently proclaimed by Franklin Roosevelt. I want in turn to assure my fellow Americans and all of those who love peace and liberty throughout the world that I will support and defend those ideals with all my strength and all my heart.

1945 April 16, Harry S. Truman, 9:21 from the start, in MP72-20 President Roosevelt’s Funeral and Procession; Truman – New President of U.S., Harry S. Truman Presidential Library and Museum, National Archives Identifier: 595162:

en:a perfect standard of beauty, intellect etc.

A perfect standard of beauty, intellect etc., or a standard of excellence to aim at.

Let #92;mathbb#123;Z#125; be the ring of integers and let 2#92;mathbb#123;Z#125; be its ideal of even integers. Then the quotient ring #92;mathbb#123;Z#125;#47;2#92;mathbb#123;Z#125; is a Boolean ring.

The product of two ideals #92;mathfrak#123;a#125; and #92;mathfrak#123;b#125; is an ideal #92;mathfrak#123;ab#125; which is a subset of the intersection of #92;mathfrak#123;a#125; and #92;mathfrak#123;b#125;. This should help to understand why maximal ideals are prime ideals. Likewise, the union of #92;mathfrak#123;a#125; and #92;mathfrak#123;b#125; is a subset of #92;mathfrak#123;a#43;b#125;.

In trying to understand the ideal theory of a commutative ring, one quickly sees that it is important to first understand the prime ideals.

2004, K. R. Goodearl, R. B. Warfield, Jr., An Introduction to Noncommutative Noetherian Rings, 2nd edition, Cambridge University Press, page 47:

If an ideal I of a ring contains the multiplicative identity 1, then we have seen that I must be the entire ring.

2009, John J. Watkins, Topics in Commutative Ring Theory, Princeton University Press, page 45:

However, every R has a minimal prime ideal consisting of left zero-divisors and one of right zero-divisors.

2010, W. D. Burgess, A. Lashgari, A. Mojiri, “Elements of Minimal Prime Ideals in General Rings”, in Sergio R. López-Permouth, Dinh Van Huynh, editors, Advances in Ring Theory, Springer (Birkhäuser), page 69:

(algebra, ring theory) A two-sided ideal; a subset of a ring which is closed under both left and right multiplication by elements of the ring.

1992, Unnamed translator, T. S. Fofanova, General Theory of Lattices, in Ordered Sets and Lattices II, American Mathematical Society, page 119,
An ideal A of L is called complete if it contains all least upper bounds of its subsets that exist in L. Bishop and Schreiner [80] studied conditions under which joins of ideals in the lattices of all ideals and of all complete ideals coincide.

1.35 Find a distributive lattice L with no minimal and no maximal prime ideals.

2011, George Grätzer, Lattice Theory: Foundation, Springer (Birkhäuser), page 125:

Definition 15.11 (Width Ideal) An ideal Q of a poset P = (X,≤) is a width ideal if maximal(Q) is a width antichain.

2015, Vijay K. Garg, Introduction to Lattice Theory with Computer Science Applications, Wiley, page 186:

partially ordered set
partially ordered set

w:Boolean prime ideal theorem#Prime ideal theorems

(algebra, order theory, lattice theory) A non-empty lower set (of a partially ordered set) which is closed under binary suprema (a.k.a. joins).

Formally, an ideal I of a given set X is a nonempty subset of the powerset #92;mathcal#123;P#125;(X) such that: (1)#92;#92;emptyset#92;inI, (2)#92;A#92;inI#92;andB#92;subseteqA#92;impliesB#92;inI and (3)#92;A,B#92;inI#92;impliesA#92;cupB#92;inI.

(set theory) A collection of sets, considered small or negligible, such that every subset of each member and the union of any two members are also members of the collection.

If 𝖌 is a Lie algebra, 𝖍 is an ideal and the Lie algebras 𝖍 and 𝖌/𝖍 are solvable, then 𝖌 is solvable.

1975, Zhe-Xian Wan, translated by Che-Young Lee, Lie Algebras, Pergamon Press, page 13:

What really put primitive ideals in enveloping algebras of semisimple Lie algebras on the map was Duflo's fundamental theorem that any such ideal is the annihilator of a very special kind of simple module, namely a highest weight module.

2006, W. McGovern, “The work of Anthony Joseph in classical representation theory”, in Anthony Joseph, Joseph Bernstein, Vladimir Hinich, Anna Melnikov, editors, Studies in Lie Theory: Dedicated to A. Joseph on His Sixtieth Birthday, Springer (Birkhäuser), page 3:

Next let L be an arbitrary semisimple Lie algebra. Then L can be written uniquely as a direct sum L#95;1#92;oplus#92;dots#92;oplusL#95;t of simple ideals (Theorem 5.2).

2013, J.E. Humphreys, Introduction to Lie Algebras and Representation Theory, Springer, page 73:

(algebra, Lie theory) A Lie subalgebra (subspace that is closed under the Lie bracket) 𝖍 of a given Lie algebra 𝖌 such that the Lie bracket [𝖌,𝖍] is a subset of 𝖍.

The set of natural numbers with multiplication as the monoid operation (instead of addition) has multiplicative ideals, such as, for example, the set {1, 3, 9, 27, 81, ...}. If any member of it is multiplied by a number which is not a power of 3 then the result will not be a power of three.

(algebra) A subsemigroup with the property that if any semigroup element outside of it is added to any one of its members, the result must lie outside of it.

理想

subring closed under multiplication by containing ring


ideal

de-adj

ideal (strong nominative masculine singular idealer, comparative (colloquial) idealer, superlative (colloquial) am idealsten)

idealer (masculine nominative singular strong)
idealer (colloquial comparative)
am idealsten (colloquial superlative)
ideal (masculine predicative singular)
ideal (feminine predicative singular)
ideal (neuter predicative singular)
ideal (plural predicative)
idealer (masculine nominative singular strong without-article)
ideale (feminine nominative singular strong without-article)
ideales (neuter nominative singular strong without-article)
ideale (nominative plural strong without-article)
idealen (genitive masculine singular strong without-article)
idealer (feminine genitive singular strong without-article)
idealen (genitive neuter singular strong without-article)
idealer (genitive plural strong without-article)
idealem (dative masculine singular strong without-article)
idealer (dative feminine singular strong without-article)
idealem (dative neuter singular strong without-article)
idealen (dative plural strong without-article)
idealen (accusative masculine singular strong without-article)
ideale (accusative feminine singular strong without-article)
ideales (accusative neuter singular strong without-article)
ideale (accusative plural strong without-article)
der ideale (definite includes-article masculine nominative singular weak)
die ideale (definite feminine includes-article nominative singular weak)
das ideale (definite includes-article neuter nominative singular weak)
die idealen (definite includes-article nominative plural weak)
des idealen (definite genitive includes-article masculine singular weak)
der idealen (definite feminine genitive includes-article singular weak)
des idealen (definite genitive includes-article neuter singular weak)
der idealen (definite genitive includes-article plural weak)
dem idealen (dative definite includes-article masculine singular weak)
der idealen (dative definite feminine includes-article singular weak)
dem idealen (dative definite includes-article neuter singular weak)
den idealen (dative definite includes-article plural weak)
den idealen (accusative definite includes-article masculine singular weak)
die ideale (accusative definite feminine includes-article singular weak)
das ideale (accusative definite includes-article neuter singular weak)
die idealen (accusative definite includes-article plural weak)
ein idealer (includes-article indefinite masculine mixed nominative singular)
eine ideale (feminine includes-article indefinite mixed nominative singular)
ein ideales (includes-article indefinite mixed neuter nominative singular)
idealen (indefinite mixed nominative plural)
keine idealen (includes-article indefinite mixed negative nominative plural)
eines idealen (genitive includes-article indefinite masculine mixed singular)
einer idealen (feminine genitive includes-article indefinite mixed singular)
eines idealen (genitive includes-article indefinite mixed neuter singular)
idealen (genitive indefinite mixed plural)
keiner idealen (genitive includes-article indefinite mixed negative plural)
einem idealen (dative includes-article indefinite masculine mixed singular)
einer idealen (dative feminine includes-article indefinite mixed singular)
einem idealen (dative includes-article indefinite mixed neuter singular)
idealen (dative indefinite mixed plural)
keinen idealen (dative includes-article indefinite mixed negative plural)
einen idealen (accusative includes-article indefinite masculine mixed singular)
eine ideale (accusative feminine includes-article indefinite mixed singular)
ein ideales (accusative includes-article indefinite mixed neuter singular)
idealen (accusative indefinite mixed plural)
keine idealen (accusative includes-article indefinite mixed negative plural)
idealer (comparative masculine predicative singular)
idealer (comparative feminine predicative singular)
idealer (comparative neuter predicative singular)
idealer (comparative plural predicative)
idealerer (comparative masculine nominative singular strong without-article)
idealere (comparative feminine nominative singular strong without-article)
idealeres (comparative neuter nominative singular strong without-article)
idealere (comparative nominative plural strong without-article)
idealeren (comparative genitive masculine singular strong without-article)
idealerer (comparative feminine genitive singular strong without-article)
idealeren (comparative genitive neuter singular strong without-article)
idealerer (comparative genitive plural strong without-article)
idealerem (comparative dative masculine singular strong without-article)
idealerer (comparative dative feminine singular strong without-article)
idealerem (comparative dative neuter singular strong without-article)
idealeren (comparative dative plural strong without-article)
idealeren (accusative comparative masculine singular strong without-article)
idealere (accusative comparative feminine singular strong without-article)
idealeres (accusative comparative neuter singular strong without-article)
idealere (accusative comparative plural strong without-article)
der idealere (comparative definite includes-article masculine nominative singular weak)
die idealere (comparative definite feminine includes-article nominative singular weak)
das idealere (comparative definite includes-article neuter nominative singular weak)
die idealeren (comparative definite includes-article nominative plural weak)
des idealeren (comparative definite genitive includes-article masculine singular weak)
der idealeren (comparative definite feminine genitive includes-article singular weak)
des idealeren (comparative definite genitive includes-article neuter singular weak)
der idealeren (comparative definite genitive includes-article plural weak)
dem idealeren (comparative dative definite includes-article masculine singular weak)
der idealeren (comparative dative definite feminine includes-article singular weak)
dem idealeren (comparative dative definite includes-article neuter singular weak)
den idealeren (comparative dative definite includes-article plural weak)
den idealeren (accusative comparative definite includes-article masculine singular weak)
die idealere (accusative comparative definite feminine includes-article singular weak)
das idealere (accusative comparative definite includes-article neuter singular weak)
die idealeren (accusative comparative definite includes-article plural weak)
ein idealerer (comparative includes-article indefinite masculine mixed nominative singular)
eine idealere (comparative feminine includes-article indefinite mixed nominative singular)
ein idealeres (comparative includes-article indefinite mixed neuter nominative singular)
idealeren (comparative indefinite mixed nominative plural)
keine idealeren (comparative includes-article indefinite mixed negative nominative plural)
eines idealeren (comparative genitive includes-article indefinite masculine mixed singular)
einer idealeren (comparative feminine genitive includes-article indefinite mixed singular)
eines idealeren (comparative genitive includes-article indefinite mixed neuter singular)
idealeren (comparative genitive indefinite mixed plural)
keiner idealeren (comparative genitive includes-article indefinite mixed negative plural)
einem idealeren (comparative dative includes-article indefinite masculine mixed singular)
einer idealeren (comparative dative feminine includes-article indefinite mixed singular)
einem idealeren (comparative dative includes-article indefinite mixed neuter singular)
idealeren (comparative dative indefinite mixed plural)
keinen idealeren (comparative dative includes-article indefinite mixed negative plural)
einen idealeren (accusative comparative includes-article indefinite masculine mixed singular)
eine idealere (accusative comparative feminine includes-article indefinite mixed singular)
ein idealeres (accusative comparative includes-article indefinite mixed neuter singular)
idealeren (accusative comparative indefinite mixed plural)
keine idealeren (accusative comparative includes-article indefinite mixed negative plural)
am idealsten (masculine predicative singular superlative)
am idealsten (feminine predicative singular superlative)
am idealsten (neuter predicative singular superlative)
am idealsten (plural predicative superlative)
idealster (masculine nominative singular strong superlative without-article)
idealste (feminine nominative singular strong superlative without-article)
idealstes (neuter nominative singular strong superlative without-article)
idealste (nominative plural strong superlative without-article)
idealsten (genitive masculine singular strong superlative without-article)
idealster (feminine genitive singular strong superlative without-article)
idealsten (genitive neuter singular strong superlative without-article)
idealster (genitive plural strong superlative without-article)
idealstem (dative masculine singular strong superlative without-article)
idealster (dative feminine singular strong superlative without-article)
idealstem (dative neuter singular strong superlative without-article)
idealsten (dative plural strong superlative without-article)
idealsten (accusative masculine singular strong superlative without-article)
idealste (accusative feminine singular strong superlative without-article)
idealstes (accusative neuter singular strong superlative without-article)
idealste (accusative plural strong superlative without-article)
der idealste (definite includes-article masculine nominative singular superlative weak)
die idealste (definite feminine includes-article nominative singular superlative weak)
das idealste (definite includes-article neuter nominative singular superlative weak)
die idealsten (definite includes-article nominative plural superlative weak)
des idealsten (definite genitive includes-article masculine singular superlative weak)
der idealsten (definite feminine genitive includes-article singular superlative weak)
des idealsten (definite genitive includes-article neuter singular superlative weak)
der idealsten (definite genitive includes-article plural superlative weak)
dem idealsten (dative definite includes-article masculine singular superlative weak)
der idealsten (dative definite feminine includes-article singular superlative weak)
dem idealsten (dative definite includes-article neuter singular superlative weak)
den idealsten (dative definite includes-article plural superlative weak)
den idealsten (accusative definite includes-article masculine singular superlative weak)
die idealste (accusative definite feminine includes-article singular superlative weak)
das idealste (accusative definite includes-article neuter singular superlative weak)
die idealsten (accusative definite includes-article plural superlative weak)
ein idealster (includes-article indefinite masculine mixed nominative singular superlative)
eine idealste (feminine includes-article indefinite mixed nominative singular superlative)
ein idealstes (includes-article indefinite mixed neuter nominative singular superlative)
idealsten (indefinite mixed nominative plural superlative)
keine idealsten (includes-article indefinite mixed negative nominative plural superlative)
eines idealsten (genitive includes-article indefinite masculine mixed singular superlative)
einer idealsten (feminine genitive includes-article indefinite mixed singular superlative)
eines idealsten (genitive includes-article indefinite mixed neuter singular superlative)
idealsten (genitive indefinite mixed plural superlative)
keiner idealsten (genitive includes-article indefinite mixed negative plural superlative)
einem idealsten (dative includes-article indefinite masculine mixed singular superlative)
einer idealsten (dative feminine includes-article indefinite mixed singular superlative)
einem idealsten (dative includes-article indefinite mixed neuter singular superlative)
idealsten (dative indefinite mixed plural superlative)
keinen idealsten (dative includes-article indefinite mixed negative plural superlative)
einen idealsten (accusative includes-article indefinite masculine mixed singular superlative)
eine idealste (accusative feminine includes-article indefinite mixed singular superlative)
ein idealstes (accusative includes-article indefinite mixed neuter singular superlative)
idealsten (accusative indefinite mixed plural superlative)
keine idealsten (accusative includes-article indefinite mixed negative plural superlative)

Borrowed from Late Latin ideālis (“existing in idea”), from Latin idea (“idea”). Doublet of ideell.


ideal

ideal:
optimal; being the best possibility.

pertaining to ideas, or to a given idea.

From Dutch ideaal, from French idéal, from Medieval Latin ideālis.


ideal

(mathematics) ideal: a subring closed under multiplication by its containing ring.


ideal

lb-adj

ideal (masculine idealen, neuter ideaalt, comparative méi ideal, superlative am ideaalsten)

idealen (masculine)
ideaalt (neuter)
méi ideal (comparative)
am ideaalsten (superlative)
hien ass ideal (masculine predicative singular)
si ass ideal (feminine predicative singular)
et ass ideal (neuter predicative singular)
si si ideal (plural predicative)
si sinn ideal (plural predicative)
idealen (accusative attributive masculine nominative singular with-determiner)
ideal (accusative attributive feminine nominative singular with-determiner)
ideaalt (accusative attributive neuter nominative singular with-determiner)
ideal (accusative attributive nominative plural with-determiner)
idealen (accusative masculine nominative singular without-determiner)
ideal (accusative feminine nominative singular without-determiner)
ideales (accusative neuter nominative singular without-determiner)
idealer (accusative nominative plural without-determiner)
idealen (dative masculine singular with-head)
idealer (dative feminine singular with-head)
idealen (dative neuter singular with-head)
idealen (dative plural with-head)
idealem (dative masculine singular)
idealer (dative feminine singular)
idealem (dative neuter singular)
idealen (dative plural)


ideal

idealet (definite singular)
ideal (indefinite plural)
idealer (indefinite plural)
ideala (definite plural)
idealene (definite plural)

From French idéal, from Late Latin ideālis (“existing in idea”), from Latin idea (“idea”).


ideal

idealet (definite singular)
ideal (indefinite plural)
ideala (definite plural)


ideal

ro-adj

ideal m or n (feminine singular ideală, masculine plural ideali, feminine and neuter plural ideale)

ideală (feminine singular)
ideali (masculine plural)
ideale (feminine neuter plural)
ideal (indefinite masculine neuter singular)
ideală (feminine indefinite singular)
ideali (indefinite masculine singular)
ideale (feminine indefinite neuter plural)
idealul (definite masculine neuter singular)
ideala (definite feminine singular)
idealii (definite masculine singular)
idealele (definite feminine neuter plural)
ideale (feminine indefinite singular)
idealului (definite masculine neuter singular)
idealei (definite feminine singular)
idealilor (definite masculine singular)
idealelor (definite feminine neuter plural)

Borrowed from French idéal, from Latin idealis.


ideal

idèāl (canonical masculine)
идѐа̄л (Cyrillic)
idèāl (nominative singular)
ideali (nominative plural)
ideála (genitive singular)
ideala (genitive plural)
idealu (dative singular)
idealima (dative plural)
ideal (accusative singular)
ideale (accusative plural)
ideale (singular vocative)
ideali (plural vocative)
idealu (locative singular)
idealima (locative plural)
idealom (instrumental singular)
idealima (instrumental plural)


ideal

es-adj

ideal m or f (masculine and feminine plural ideales)


ideal

under ideala förhållanden

ideal (indefinite positive)
idealt (indefinite neuter positive singular)
ideala (indefinite plural positive)
ideale (archaic indefinite masculine plural positive)
ideale (definite masculine positive singular)
ideala (definite positive)


ideal

(mathematics) ideal; special subsets of a ring

ideal (indefinite nominative singular)
ideals (genitive indefinite singular)
idealet (definite nominative singular)
idealets (definite genitive singular)
ideal (indefinite nominative plural)
ideals (genitive indefinite plural)
idealen (definite nominative plural)
idealens (definite genitive plural)


ideal

head

ideal (definite accusative ideali, plural idealler)

ideali (accusative definite)
idealler (plural)
ideal (nominative singular)
idealler (nominative plural)
ideali (accusative definite singular)
idealleri (accusative definite plural)
ideale (dative singular)
ideallere (dative plural)
idealde (locative singular)
ideallerde (locative plural)
idealden (ablative singular)
ideallerden (ablative plural)
idealin (genitive singular)
ideallerin (genitive plural)
idealim (first-person nominative singular)
ideallerim (first-person nominative singular)
idealin (nominative second-person singular)
ideallerin (nominative second-person singular)
ideali (nominative singular third-person)
idealleri (nominative singular third-person)
idealimiz (first-person nominative plural)
ideallerimiz (first-person nominative plural)
idealiniz (nominative plural second-person)
idealleriniz (nominative plural second-person)
idealleri (nominative plural third-person)
idealimi (accusative definite first-person singular)
ideallerimi (accusative definite first-person singular)
idealini (accusative definite second-person singular)
ideallerini (accusative definite second-person singular)
idealini (accusative definite singular third-person)
ideallerini (accusative definite singular third-person)
idealimizi (accusative definite first-person plural)
ideallerimizi (accusative definite first-person plural)
idealinizi (accusative definite plural second-person)
ideallerinizi (accusative definite plural second-person)
ideallerini (accusative definite plural third-person)
idealime (dative first-person singular)
ideallerime (dative first-person singular)
idealine (dative second-person singular)
ideallerine (dative second-person singular)
idealine (dative singular third-person)
ideallerine (dative singular third-person)
idealimize (dative first-person plural)
ideallerimize (dative first-person plural)
idealinize (dative plural second-person)
ideallerinize (dative plural second-person)
ideallerine (dative plural third-person)
idealimde (first-person locative singular)
ideallerimde (first-person locative singular)
idealinde (locative second-person singular)
ideallerinde (locative second-person singular)
idealinde (locative singular third-person)
ideallerinde (locative singular third-person)
idealimizde (first-person locative plural)
ideallerimizde (first-person locative plural)
idealinizde (locative plural second-person)
ideallerinizde (locative plural second-person)
ideallerinde (locative plural third-person)
idealimden (ablative first-person singular)
ideallerimden (ablative first-person singular)
idealinden (ablative second-person singular)
ideallerinden (ablative second-person singular)
idealinden (ablative singular third-person)
ideallerinden (ablative singular third-person)
idealimizden (ablative first-person plural)
ideallerimizden (ablative first-person plural)
idealinizden (ablative plural second-person)
ideallerinizden (ablative plural second-person)
ideallerinden (ablative plural third-person)
idealimin (first-person genitive singular)
ideallerimin (first-person genitive singular)
idealinin (genitive second-person singular)
ideallerinin (genitive second-person singular)
idealinin (genitive singular third-person)
ideallerinin (genitive singular third-person)
idealimizin (first-person genitive plural)
ideallerimizin (first-person genitive plural)
idealinizin (genitive plural second-person)
ideallerinizin (genitive plural second-person)
ideallerinin (genitive plural third-person)
idealim (first-person singular)
ideallerim (first-person singular)
idealsin (second-person singular)
ideallersin (second-person singular)
ideal (singular third-person)
idealdir (singular third-person)
idealler (singular third-person)
ideallerdir (singular third-person)
idealiz (first-person plural)
idealleriz (first-person plural)
idealsiniz (plural second-person)
ideallersiniz (plural second-person)
idealler (plural third-person)
ideallerdir (plural third-person)


ideal

cy-adj

ideal (feminine singular ideal, plural ideal, not comparable)

ideal (feminine singular)
ideal (plural)


ideal

idealau (plural)
ideal
hideal (prothesis-h)