See commutative on Wiktionary
Download JSON data for commutative meaning in All languages combined (9.5kB)
{
"antonyms": [
{
"word": "anticommutative"
}
],
"derived": [
{
"_dis1": "0 0 0 0",
"word": "combinatorial commutative algebra"
},
{
"_dis1": "0 0 0 0",
"word": "commutative algebra"
},
{
"_dis1": "0 0 0 0",
"word": "commutative justice"
},
{
"_dis1": "0 0 0 0",
"word": "commutative property"
},
{
"_dis1": "0 0 0 0",
"word": "commutative ring"
},
{
"_dis1": "0 0 0 0",
"word": "commutativity"
}
],
"etymology_templates": [
{
"args": {
"1": "en",
"2": "fr",
"3": "commuter",
"4": "",
"5": "to substitute or switch"
},
"expansion": "French commuter (“to substitute or switch”)",
"name": "der"
},
{
"args": {
"1": "en",
"2": "-ative",
"t1": "tending to"
},
"expansion": "-ative (“tending to”)",
"name": "af"
},
{
"args": {
"1": "en",
"2": "commute"
},
"expansion": "commute",
"name": "m"
}
],
"etymology_text": "From French commuter (“to substitute or switch”) + -ative (“tending to”). See commute.",
"head_templates": [
{
"args": {
"1": "-"
},
"expansion": "commutative (not comparable)",
"name": "en-adj"
}
],
"lang": "English",
"lang_code": "en",
"pos": "adj",
"related": [
{
"_dis1": "0 0 0 0",
"word": "commutator"
},
{
"_dis1": "0 0 0 0",
"word": "commute"
}
],
"senses": [
{
"categories": [
{
"kind": "topical",
"langcode": "en",
"name": "Mathematics",
"orig": "en:Mathematics",
"parents": [
"Formal sciences",
"Sciences",
"All topics",
"Fundamental"
],
"source": "w"
},
{
"_dis": "57 9 33 1",
"kind": "other",
"name": "English entries with incorrect language header",
"parents": [
"Entries with incorrect language header",
"Entry maintenance"
],
"source": "w+disamb"
},
{
"_dis": "56 11 30 2",
"kind": "other",
"name": "English terms suffixed with -ative",
"parents": [],
"source": "w+disamb"
}
],
"examples": [
{
"text": "Addition on the real numbers is commutative because for any real numbers s,t, it is true that s+t=t+s."
},
{
"text": "Addition and multiplication are commutative operations but subtraction and division are not."
}
],
"glosses": [
"Such that the order in which the operands are taken does not affect their image under the operation."
],
"id": "en-commutative-en-adj-QuWdlo9A",
"links": [
[
"mathematics",
"mathematics"
],
[
"binary",
"binary"
],
[
"operation",
"operation"
],
[
"order",
"order"
],
[
"operand",
"operand"
],
[
"image",
"image"
]
],
"raw_glosses": [
"(mathematics, of a binary operation) Such that the order in which the operands are taken does not affect their image under the operation."
],
"raw_tags": [
"of a binary operation"
],
"tags": [
"not-comparable"
],
"topics": [
"mathematics",
"sciences"
],
"translations": [
{
"_dis1": "71 14 14 0",
"code": "ca",
"lang": "Catalan",
"sense": "mathematics: such that order of operands does not affect result",
"word": "commutatiu"
},
{
"_dis1": "71 14 14 0",
"code": "cs",
"lang": "Czech",
"sense": "mathematics: such that order of operands does not affect result",
"tags": [
"masculine"
],
"word": "komutativní"
},
{
"_dis1": "71 14 14 0",
"code": "da",
"lang": "Danish",
"sense": "mathematics: such that order of operands does not affect result",
"word": "kommutativ"
},
{
"_dis1": "71 14 14 0",
"code": "nl",
"lang": "Dutch",
"sense": "mathematics: such that order of operands does not affect result",
"word": "commutatief"
},
{
"_dis1": "71 14 14 0",
"code": "eo",
"lang": "Esperanto",
"sense": "mathematics: such that order of operands does not affect result",
"word": "komuta"
},
{
"_dis1": "71 14 14 0",
"code": "fi",
"lang": "Finnish",
"sense": "mathematics: such that order of operands does not affect result",
"word": "kommutatiivinen"
},
{
"_dis1": "71 14 14 0",
"code": "fi",
"lang": "Finnish",
"sense": "mathematics: such that order of operands does not affect result",
"word": "vaihdannainen"
},
{
"_dis1": "71 14 14 0",
"code": "de",
"lang": "German",
"sense": "mathematics: such that order of operands does not affect result",
"word": "kommutativ"
},
{
"_dis1": "71 14 14 0",
"code": "el",
"lang": "Greek",
"roman": "antimetathetikós",
"sense": "mathematics: such that order of operands does not affect result",
"word": "αντιμεταθετικός"
},
{
"_dis1": "71 14 14 0",
"code": "is",
"lang": "Icelandic",
"sense": "mathematics: such that order of operands does not affect result",
"tags": [
"masculine"
],
"word": "víxlinn"
},
{
"_dis1": "71 14 14 0",
"code": "pl",
"lang": "Polish",
"sense": "mathematics: such that order of operands does not affect result",
"tags": [
"masculine"
],
"word": "przemienny"
},
{
"_dis1": "71 14 14 0",
"code": "pt",
"lang": "Portuguese",
"sense": "mathematics: such that order of operands does not affect result",
"word": "comutativo"
},
{
"_dis1": "71 14 14 0",
"code": "ro",
"lang": "Romanian",
"sense": "mathematics: such that order of operands does not affect result",
"word": "comutativ"
},
{
"_dis1": "71 14 14 0",
"code": "ru",
"lang": "Russian",
"roman": "kommutativnyj",
"sense": "mathematics: such that order of operands does not affect result",
"word": "коммутативный"
},
{
"_dis1": "71 14 14 0",
"code": "ru",
"lang": "Russian",
"roman": "perestanovočnyj",
"sense": "mathematics: such that order of operands does not affect result",
"word": "перестановочный"
},
{
"_dis1": "71 14 14 0",
"code": "tl",
"lang": "Tagalog",
"sense": "mathematics: such that order of operands does not affect result",
"word": "palitin"
},
{
"_dis1": "71 14 14 0",
"code": "tr",
"lang": "Turkish",
"sense": "mathematics: such that order of operands does not affect result",
"word": "değişmeli"
}
]
},
{
"categories": [
{
"kind": "topical",
"langcode": "en",
"name": "Algebra",
"orig": "en:Algebra",
"parents": [
"Mathematics",
"Formal sciences",
"Sciences",
"All topics",
"Fundamental"
],
"source": "w"
}
],
"glosses": [
"Having a commutative operation."
],
"id": "en-commutative-en-adj-Eoflf-pc",
"links": [
[
"algebra",
"algebra"
],
[
"algebraic structure",
"algebraic structure"
],
[
"operation",
"operation"
]
],
"raw_glosses": [
"(algebra, of an algebraic structure) Having a commutative operation."
],
"raw_tags": [
"of an algebraic structure"
],
"synonyms": [
{
"_dis1": "28 45 24 4",
"sense": "of an algebraic structure",
"word": "abelian"
},
{
"_dis1": "28 45 24 4",
"sense": "of an algebraic structure",
"word": "Abelian"
}
],
"tags": [
"not-comparable"
],
"topics": [
"algebra",
"mathematics",
"sciences"
],
"translations": [
{
"_dis1": "22 72 5 1",
"code": "ca",
"lang": "Catalan",
"sense": "algebra: having a commutative operation",
"word": "commutatiu"
},
{
"_dis1": "22 72 5 1",
"code": "cs",
"lang": "Czech",
"sense": "algebra: having a commutative operation",
"tags": [
"masculine"
],
"word": "komutativní"
},
{
"_dis1": "22 72 5 1",
"code": "eo",
"lang": "Esperanto",
"sense": "algebra: having a commutative operation",
"word": "komuta"
},
{
"_dis1": "22 72 5 1",
"code": "fi",
"lang": "Finnish",
"sense": "algebra: having a commutative operation",
"word": "kommutatiivinen"
},
{
"_dis1": "22 72 5 1",
"code": "fi",
"lang": "Finnish",
"sense": "algebra: having a commutative operation",
"word": "vaihdannainen"
},
{
"_dis1": "22 72 5 1",
"code": "de",
"lang": "German",
"sense": "algebra: having a commutative operation",
"word": "kommutativ"
},
{
"_dis1": "22 72 5 1",
"code": "pt",
"lang": "Portuguese",
"sense": "algebra: having a commutative operation",
"word": "comutativo"
},
{
"_dis1": "22 72 5 1",
"code": "ro",
"lang": "Romanian",
"sense": "algebra: having a commutative operation",
"word": "comutativ"
},
{
"_dis1": "22 72 5 1",
"code": "tl",
"lang": "Tagalog",
"sense": "algebra: having a commutative operation",
"word": "palitin"
},
{
"_dis1": "22 72 5 1",
"code": "tr",
"lang": "Turkish",
"sense": "algebra: having a commutative operation",
"word": "değişmeli"
}
]
},
{
"categories": [
{
"kind": "topical",
"langcode": "en",
"name": "Mathematics",
"orig": "en:Mathematics",
"parents": [
"Formal sciences",
"Sciences",
"All topics",
"Fundamental"
],
"source": "w"
}
],
"glosses": [
"Such that any two sequences of morphisms with the same initial and final positions compose to the same morphism."
],
"id": "en-commutative-en-adj-96vCNf2w",
"links": [
[
"mathematics",
"mathematics"
],
[
"diagram",
"diagram"
],
[
"morphism",
"morphism"
],
[
"compose",
"compose"
]
],
"raw_glosses": [
"(mathematics, of a diagram of morphisms) Such that any two sequences of morphisms with the same initial and final positions compose to the same morphism."
],
"raw_tags": [
"of a diagram of morphisms"
],
"tags": [
"not-comparable"
],
"topics": [
"mathematics",
"sciences"
]
},
{
"glosses": [
"Relating to exchange; interchangeable."
],
"id": "en-commutative-en-adj-zptjCIBM",
"links": [
[
"exchange",
"exchange"
],
[
"interchangeable",
"interchangeable"
]
],
"tags": [
"not-comparable"
]
}
],
"word": "commutative"
}
{
"head_templates": [
{
"args": {
"1": "fr",
"2": "adjective form"
},
"expansion": "commutative",
"name": "head"
}
],
"lang": "French",
"lang_code": "fr",
"pos": "adj",
"senses": [
{
"categories": [
{
"kind": "other",
"name": "French entries with incorrect language header",
"parents": [
"Entries with incorrect language header",
"Entry maintenance"
],
"source": "w"
}
],
"form_of": [
{
"word": "commutatif"
}
],
"glosses": [
"feminine singular of commutatif"
],
"id": "en-commutative-fr-adj-ik0WEa0V",
"links": [
[
"commutatif",
"commutatif#French"
]
],
"tags": [
"feminine",
"form-of",
"singular"
]
}
],
"word": "commutative"
}
{
"head_templates": [
{
"args": {
"1": "it",
"2": "adjective form"
},
"expansion": "commutative",
"name": "head"
}
],
"lang": "Italian",
"lang_code": "it",
"pos": "adj",
"senses": [
{
"categories": [
{
"kind": "other",
"name": "Italian entries with incorrect language header",
"parents": [
"Entries with incorrect language header",
"Entry maintenance"
],
"source": "w"
}
],
"form_of": [
{
"word": "commutativo"
}
],
"glosses": [
"feminine plural of commutativo"
],
"id": "en-commutative-it-adj-8QeP~Rf8",
"links": [
[
"commutativo",
"commutativo#Italian"
]
],
"tags": [
"feminine",
"form-of",
"plural"
]
}
],
"word": "commutative"
}
{
"antonyms": [
{
"word": "anticommutative"
}
],
"categories": [
"English adjectives",
"English entries with incorrect language header",
"English lemmas",
"English terms derived from French",
"English terms suffixed with -ative",
"English uncomparable adjectives",
"Requests for review of French translations",
"Requests for review of Hungarian translations",
"Requests for review of Spanish translations"
],
"derived": [
{
"word": "combinatorial commutative algebra"
},
{
"word": "commutative algebra"
},
{
"word": "commutative justice"
},
{
"word": "commutative property"
},
{
"word": "commutative ring"
},
{
"word": "commutativity"
}
],
"etymology_templates": [
{
"args": {
"1": "en",
"2": "fr",
"3": "commuter",
"4": "",
"5": "to substitute or switch"
},
"expansion": "French commuter (“to substitute or switch”)",
"name": "der"
},
{
"args": {
"1": "en",
"2": "-ative",
"t1": "tending to"
},
"expansion": "-ative (“tending to”)",
"name": "af"
},
{
"args": {
"1": "en",
"2": "commute"
},
"expansion": "commute",
"name": "m"
}
],
"etymology_text": "From French commuter (“to substitute or switch”) + -ative (“tending to”). See commute.",
"head_templates": [
{
"args": {
"1": "-"
},
"expansion": "commutative (not comparable)",
"name": "en-adj"
}
],
"lang": "English",
"lang_code": "en",
"pos": "adj",
"related": [
{
"word": "commutator"
},
{
"word": "commute"
}
],
"senses": [
{
"categories": [
"en:Mathematics"
],
"examples": [
{
"text": "Addition on the real numbers is commutative because for any real numbers s,t, it is true that s+t=t+s."
},
{
"text": "Addition and multiplication are commutative operations but subtraction and division are not."
}
],
"glosses": [
"Such that the order in which the operands are taken does not affect their image under the operation."
],
"links": [
[
"mathematics",
"mathematics"
],
[
"binary",
"binary"
],
[
"operation",
"operation"
],
[
"order",
"order"
],
[
"operand",
"operand"
],
[
"image",
"image"
]
],
"raw_glosses": [
"(mathematics, of a binary operation) Such that the order in which the operands are taken does not affect their image under the operation."
],
"raw_tags": [
"of a binary operation"
],
"tags": [
"not-comparable"
],
"topics": [
"mathematics",
"sciences"
]
},
{
"categories": [
"en:Algebra"
],
"glosses": [
"Having a commutative operation."
],
"links": [
[
"algebra",
"algebra"
],
[
"algebraic structure",
"algebraic structure"
],
[
"operation",
"operation"
]
],
"raw_glosses": [
"(algebra, of an algebraic structure) Having a commutative operation."
],
"raw_tags": [
"of an algebraic structure"
],
"tags": [
"not-comparable"
],
"topics": [
"algebra",
"mathematics",
"sciences"
]
},
{
"categories": [
"en:Mathematics"
],
"glosses": [
"Such that any two sequences of morphisms with the same initial and final positions compose to the same morphism."
],
"links": [
[
"mathematics",
"mathematics"
],
[
"diagram",
"diagram"
],
[
"morphism",
"morphism"
],
[
"compose",
"compose"
]
],
"raw_glosses": [
"(mathematics, of a diagram of morphisms) Such that any two sequences of morphisms with the same initial and final positions compose to the same morphism."
],
"raw_tags": [
"of a diagram of morphisms"
],
"tags": [
"not-comparable"
],
"topics": [
"mathematics",
"sciences"
]
},
{
"glosses": [
"Relating to exchange; interchangeable."
],
"links": [
[
"exchange",
"exchange"
],
[
"interchangeable",
"interchangeable"
]
],
"tags": [
"not-comparable"
]
}
],
"synonyms": [
{
"sense": "of an algebraic structure",
"word": "abelian"
},
{
"sense": "of an algebraic structure",
"word": "Abelian"
}
],
"translations": [
{
"code": "ca",
"lang": "Catalan",
"sense": "mathematics: such that order of operands does not affect result",
"word": "commutatiu"
},
{
"code": "cs",
"lang": "Czech",
"sense": "mathematics: such that order of operands does not affect result",
"tags": [
"masculine"
],
"word": "komutativní"
},
{
"code": "da",
"lang": "Danish",
"sense": "mathematics: such that order of operands does not affect result",
"word": "kommutativ"
},
{
"code": "nl",
"lang": "Dutch",
"sense": "mathematics: such that order of operands does not affect result",
"word": "commutatief"
},
{
"code": "eo",
"lang": "Esperanto",
"sense": "mathematics: such that order of operands does not affect result",
"word": "komuta"
},
{
"code": "fi",
"lang": "Finnish",
"sense": "mathematics: such that order of operands does not affect result",
"word": "kommutatiivinen"
},
{
"code": "fi",
"lang": "Finnish",
"sense": "mathematics: such that order of operands does not affect result",
"word": "vaihdannainen"
},
{
"code": "de",
"lang": "German",
"sense": "mathematics: such that order of operands does not affect result",
"word": "kommutativ"
},
{
"code": "el",
"lang": "Greek",
"roman": "antimetathetikós",
"sense": "mathematics: such that order of operands does not affect result",
"word": "αντιμεταθετικός"
},
{
"code": "is",
"lang": "Icelandic",
"sense": "mathematics: such that order of operands does not affect result",
"tags": [
"masculine"
],
"word": "víxlinn"
},
{
"code": "pl",
"lang": "Polish",
"sense": "mathematics: such that order of operands does not affect result",
"tags": [
"masculine"
],
"word": "przemienny"
},
{
"code": "pt",
"lang": "Portuguese",
"sense": "mathematics: such that order of operands does not affect result",
"word": "comutativo"
},
{
"code": "ro",
"lang": "Romanian",
"sense": "mathematics: such that order of operands does not affect result",
"word": "comutativ"
},
{
"code": "ru",
"lang": "Russian",
"roman": "kommutativnyj",
"sense": "mathematics: such that order of operands does not affect result",
"word": "коммутативный"
},
{
"code": "ru",
"lang": "Russian",
"roman": "perestanovočnyj",
"sense": "mathematics: such that order of operands does not affect result",
"word": "перестановочный"
},
{
"code": "tl",
"lang": "Tagalog",
"sense": "mathematics: such that order of operands does not affect result",
"word": "palitin"
},
{
"code": "tr",
"lang": "Turkish",
"sense": "mathematics: such that order of operands does not affect result",
"word": "değişmeli"
},
{
"code": "ca",
"lang": "Catalan",
"sense": "algebra: having a commutative operation",
"word": "commutatiu"
},
{
"code": "cs",
"lang": "Czech",
"sense": "algebra: having a commutative operation",
"tags": [
"masculine"
],
"word": "komutativní"
},
{
"code": "eo",
"lang": "Esperanto",
"sense": "algebra: having a commutative operation",
"word": "komuta"
},
{
"code": "fi",
"lang": "Finnish",
"sense": "algebra: having a commutative operation",
"word": "kommutatiivinen"
},
{
"code": "fi",
"lang": "Finnish",
"sense": "algebra: having a commutative operation",
"word": "vaihdannainen"
},
{
"code": "de",
"lang": "German",
"sense": "algebra: having a commutative operation",
"word": "kommutativ"
},
{
"code": "pt",
"lang": "Portuguese",
"sense": "algebra: having a commutative operation",
"word": "comutativo"
},
{
"code": "ro",
"lang": "Romanian",
"sense": "algebra: having a commutative operation",
"word": "comutativ"
},
{
"code": "tl",
"lang": "Tagalog",
"sense": "algebra: having a commutative operation",
"word": "palitin"
},
{
"code": "tr",
"lang": "Turkish",
"sense": "algebra: having a commutative operation",
"word": "değişmeli"
}
],
"word": "commutative"
}
{
"head_templates": [
{
"args": {
"1": "fr",
"2": "adjective form"
},
"expansion": "commutative",
"name": "head"
}
],
"lang": "French",
"lang_code": "fr",
"pos": "adj",
"senses": [
{
"categories": [
"French adjective forms",
"French entries with incorrect language header",
"French non-lemma forms"
],
"form_of": [
{
"word": "commutatif"
}
],
"glosses": [
"feminine singular of commutatif"
],
"links": [
[
"commutatif",
"commutatif#French"
]
],
"tags": [
"feminine",
"form-of",
"singular"
]
}
],
"word": "commutative"
}
{
"head_templates": [
{
"args": {
"1": "it",
"2": "adjective form"
},
"expansion": "commutative",
"name": "head"
}
],
"lang": "Italian",
"lang_code": "it",
"pos": "adj",
"senses": [
{
"categories": [
"Italian adjective forms",
"Italian entries with incorrect language header",
"Italian non-lemma forms"
],
"form_of": [
{
"word": "commutativo"
}
],
"glosses": [
"feminine plural of commutativo"
],
"links": [
[
"commutativo",
"commutativo#Italian"
]
],
"tags": [
"feminine",
"form-of",
"plural"
]
}
],
"word": "commutative"
}
{
"called_from": "translations/324",
"msg": "possible sense number in translation item: French: __IGNORE__, __IGNORE__ (1, 2), __IGNORE__, __IGNORE__ (2)",
"path": [
"commutative"
],
"section": "English",
"subsection": "adjective",
"title": "commutative",
"trace": ""
}
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.
If you use this data in academic research, please cite Tatu Ylonen: Wiktextract: Wiktionary as Machine-Readable Structured Data, Proceedings of the 13th Conference on Language Resources and Evaluation (LREC), pp. 1317-1325, Marseille, 20-25 June 2022. Linking to the relevant page(s) under https://kaikki.org would also be greatly appreciated.