"nilpotent" meaning in All languages combined

See nilpotent on Wiktionary

Adjective [English]

IPA: /nɪlˈpəʊtənt/
Etymology: From nil (“not any”) + potent (“having power”) with literal meaning “having zero power” - bearing Latin roots nil and potens. Coined in 1870, along with idempotent, by American mathematician Benjamin Peirce to describe elements of associative algebras. Etymology templates: {{compound|en|nil|potent|t1=not any|t2=having power}} nil (“not any”) + potent (“having power”), {{uder|en|la|-}} Latin, {{m|la|nil}} nil, {{m|la|potens}} potens, {{m|en|idempotent}} idempotent Head templates: {{en-adj|-}} nilpotent (not comparable)
  1. (algebra, ring theory, of an element x of a semigroup or ring) Such that, for some positive integer n, xⁿ = 0. Tags: not-comparable Categories (topical): Algebra Derived forms: nilpotent algebra, nilpotent ideal, nilpotently, nilpotent orbit, nilpotent semigroup Related terms: nilpotence, nilpotency, idempotent, nullipotent, unipotent Coordinate_terms: idempotent Translations ((algebra)): nilpotentní (Czech), nilpotent (Danish), nilpotenta (Esperanto), nulpotenca (Esperanto), nilpotentti (Finnish), nilpotent (French), нильпотент (nilʹpotent) (Russian), nilpotente (Spanish)
    Sense id: en-nilpotent-en-adj-uY-zS2oB Categories (other): English entries with incorrect language header Disambiguation of English entries with incorrect language header: 52 48 Topics: algebra, mathematics, sciences

Noun [English]

IPA: /nɪlˈpəʊtənt/ Forms: nilpotents [plural]
Etymology: From nil (“not any”) + potent (“having power”) with literal meaning “having zero power” - bearing Latin roots nil and potens. Coined in 1870, along with idempotent, by American mathematician Benjamin Peirce to describe elements of associative algebras. Etymology templates: {{compound|en|nil|potent|t1=not any|t2=having power}} nil (“not any”) + potent (“having power”), {{uder|en|la|-}} Latin, {{m|la|nil}} nil, {{m|la|potens}} potens, {{m|en|idempotent}} idempotent Head templates: {{en-noun}} nilpotent (plural nilpotents)
  1. (algebra) A nilpotent element. Categories (topical): Algebra
    Sense id: en-nilpotent-en-noun-noEHS11f Categories (other): English entries with incorrect language header, English undefined derivations Disambiguation of English entries with incorrect language header: 52 48 Disambiguation of English undefined derivations: 34 66 Topics: algebra, mathematics, sciences

Inflected forms

Download JSON data for nilpotent meaning in All languages combined (5.7kB)

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This page is a part of the kaikki.org machine-readable All languages combined dictionary. This dictionary is based on structured data extracted on 2024-05-12 from the enwiktionary dump dated 2024-05-02 using wiktextract (ae36afe and 304864d). The data shown on this site has been post-processed and various details (e.g., extra categories) removed, some information disambiguated, and additional data merged from other sources. See the raw data download page for the unprocessed wiktextract data.

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