See algebraic structure on Wiktionary
Download JSON data for algebraic structure meaning in All languages combined (7.1kB)
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"text": "1975, Ronald James Williams, Algebraic Structures Up to Homotopy, University of California, San Diego, page 16,\nIn this chapter we propose a general means for describing algebraic structures, both strict and up to homotopy, and we apply the results of the preceding chapter to the study of these […] ."
},
{
"text": "1995, George R. Kempf, Algebraic Structures, Bertelsmann (Vieweg), page 129,\nThus the algebraic structures which we have been studying are part of category theory, but the important theorem is not generally categorical nonsense, although there are theorems in category theory which we will not study."
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"ref": "2019, Palash B. Pal, A Physicist's Introduction to Algebraic Structures, Cambridge University Press, page 37",
"text": "Any algebraic structure is defined by a non-empty set of elements, and a set of rules or conditions that the elements satisfy. Thus, even a set equipped with a relation, as described in Section 2.4, is an algebraic structure. This structure is sometimes called a setoid, a name that we won't have much use for.",
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{
"text": "1975, Ronald James Williams, Algebraic Structures Up to Homotopy, University of California, San Diego, page 16,\nIn this chapter we propose a general means for describing algebraic structures, both strict and up to homotopy, and we apply the results of the preceding chapter to the study of these […] ."
},
{
"text": "1995, George R. Kempf, Algebraic Structures, Bertelsmann (Vieweg), page 129,\nThus the algebraic structures which we have been studying are part of category theory, but the important theorem is not generally categorical nonsense, although there are theorems in category theory which we will not study."
},
{
"ref": "2019, Palash B. Pal, A Physicist's Introduction to Algebraic Structures, Cambridge University Press, page 37",
"text": "Any algebraic structure is defined by a non-empty set of elements, and a set of rules or conditions that the elements satisfy. Thus, even a set equipped with a relation, as described in Section 2.4, is an algebraic structure. This structure is sometimes called a setoid, a name that we won't have much use for.",
"type": "quotation"
},
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]
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"word": "algebraisk struktur"
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"sense": "formal structure of a carrier set, operations and identities",
"word": "algebrallinen rakenne"
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"sense": "formal structure of a carrier set, operations and identities",
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{
"code": "de",
"lang": "German",
"sense": "formal structure of a carrier set, operations and identities",
"tags": [
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"word": "algebraische Struktur"
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{
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"sense": "formal structure of a carrier set, operations and identities",
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"sense": "formal structure of a carrier set, operations and identities",
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"word": "алгебарска структура"
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"tags": [
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"word": "algebraisk struktur"
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"sense": "formal structure of a carrier set, operations and identities",
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"masculine"
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"code": "pt",
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"sense": "formal structure of a carrier set, operations and identities",
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"word": "estrutura algébrica"
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{
"code": "ro",
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"sense": "formal structure of a carrier set, operations and identities",
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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 2024-05-03 from the enwiktionary dump dated 2024-05-02 using wiktextract (f4fd8c9 and c9440ce). 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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