See commutator on Wiktionary
Download JSON data for commutator meaning in All languages combined (6.8kB)
{
"derived": [
{
"_dis1": "0 0 0",
"word": "anticommutator"
},
{
"_dis1": "0 0 0",
"word": "commutator length"
},
{
"_dis1": "0 0 0",
"word": "commutatorless"
},
{
"_dis1": "0 0 0",
"word": "commutator subgroup"
},
{
"_dis1": "0 0 0",
"word": "multicommutator"
},
{
"_dis1": "0 0 0",
"word": "self-commutator"
}
],
"etymology_templates": [
{
"args": {
"1": "en",
"2": "commutation#Etymology_1"
},
"expansion": "Back-formation from commutation",
"name": "back-formation"
},
{
"args": {
"1": "en",
"2": "commutate",
"pos": "v"
},
"expansion": "commutate (verb)",
"name": "m"
}
],
"etymology_text": "Back-formation from commutation (in the late 19th century), as is commutate (verb) too.",
"forms": [
{
"form": "commutators",
"tags": [
"plural"
]
}
],
"head_templates": [
{
"args": {},
"expansion": "commutator (plural commutators)",
"name": "en-noun"
}
],
"lang": "English",
"lang_code": "en",
"pos": "noun",
"related": [
{
"_dis1": "0 0 0",
"word": "nilpotent group"
},
{
"_dis1": "0 0 0",
"word": "solvable group"
}
],
"senses": [
{
"categories": [
{
"_dis": "26 37 37",
"kind": "other",
"name": "English back-formations",
"parents": [],
"source": "w+disamb"
},
{
"_dis": "31 36 34",
"kind": "other",
"name": "English entries with incorrect language header",
"parents": [
"Entries with incorrect language header",
"Entry maintenance"
],
"source": "w+disamb"
}
],
"glosses": [
"An electrical switch, in a generator or motor, that periodically reverses the direction of an electric current."
],
"id": "en-commutator-en-noun-7mJVMIYN",
"links": [
[
"electrical",
"electrical"
],
[
"switch",
"switch"
],
[
"generator",
"generator"
],
[
"motor",
"motor"
],
[
"periodically",
"periodically"
],
[
"reverse",
"reverse"
],
[
"direction",
"direction"
],
[
"electric current",
"electric current"
]
],
"synonyms": [
{
"tags": [
"dated"
],
"word": "rheotrope"
},
{
"tags": [
"dated"
],
"word": "electrepeter"
}
],
"translations": [
{
"_dis1": "92 5 3",
"code": "fi",
"lang": "Finnish",
"sense": "electrical switch",
"word": "virrankäännin"
},
{
"_dis1": "92 5 3",
"code": "fi",
"lang": "Finnish",
"sense": "electrical switch",
"word": "kommutaattori"
},
{
"_dis1": "92 5 3",
"code": "ja",
"lang": "Japanese",
"roman": "seiryūshi",
"sense": "electrical switch",
"word": "整流子"
},
{
"_dis1": "92 5 3",
"code": "mi",
"lang": "Maori",
"sense": "electrical switch",
"word": "pūhuri hiko"
},
{
"_dis1": "92 5 3",
"code": "ro",
"lang": "Romanian",
"sense": "electrical switch",
"tags": [
"neuter"
],
"word": "colector de comutație"
},
{
"_dis1": "92 5 3",
"code": "ro",
"english": "electric",
"lang": "Romanian",
"sense": "electrical switch",
"tags": [
"neuter"
],
"word": "colector"
},
{
"_dis1": "92 5 3",
"code": "sv",
"lang": "Swedish",
"sense": "electrical switch",
"tags": [
"common-gender"
],
"word": "kommutator"
}
]
},
{
"categories": [
{
"kind": "topical",
"langcode": "en",
"name": "Group theory",
"orig": "en:Group theory",
"parents": [
"Algebra",
"Mathematics",
"Formal sciences",
"Sciences",
"All topics",
"Fundamental"
],
"source": "w"
},
{
"_dis": "26 37 37",
"kind": "other",
"name": "English back-formations",
"parents": [],
"source": "w+disamb"
},
{
"_dis": "31 36 34",
"kind": "other",
"name": "English entries with incorrect language header",
"parents": [
"Entries with incorrect language header",
"Entry maintenance"
],
"source": "w+disamb"
},
{
"_dis": "20 47 32",
"kind": "other",
"name": "English links with manual fragments",
"parents": [
"Links with manual fragments",
"Entry maintenance"
],
"source": "w+disamb"
}
],
"glosses": [
"A binary map in a given group G, given by [g, h] = ghg⁻¹h⁻¹, where g and h are elements of G, which yields the group's identity if and only if the group operation commutes for g and h."
],
"id": "en-commutator-en-noun-tv1sY8Xa",
"links": [
[
"group theory",
"group theory"
],
[
"group",
"group"
],
[
"element",
"element"
],
[
"identity",
"identity"
],
[
"commute",
"commute"
]
],
"raw_glosses": [
"(group theory) A binary map in a given group G, given by [g, h] = ghg⁻¹h⁻¹, where g and h are elements of G, which yields the group's identity if and only if the group operation commutes for g and h."
],
"topics": [
"group-theory",
"mathematics",
"sciences"
],
"translations": [
{
"_dis1": "24 45 31",
"code": "hu",
"lang": "Hungarian",
"sense": "binary function in a group",
"word": "kommutátor"
},
{
"_dis1": "24 45 31",
"code": "ja",
"lang": "Japanese",
"roman": "kōkanshi",
"sense": "binary function in a group",
"word": "交換子"
},
{
"_dis1": "24 45 31",
"code": "pt",
"lang": "Portuguese",
"sense": "binary function in a group",
"tags": [
"masculine"
],
"word": "comutador"
},
{
"_dis1": "24 45 31",
"code": "tr",
"lang": "Turkish",
"sense": "binary function in a group",
"word": "değişeç"
}
]
},
{
"categories": [
{
"_dis": "26 37 37",
"kind": "other",
"name": "English back-formations",
"parents": [],
"source": "w+disamb"
},
{
"_dis": "31 36 34",
"kind": "other",
"name": "English entries with incorrect language header",
"parents": [
"Entries with incorrect language header",
"Entry maintenance"
],
"source": "w+disamb"
}
],
"glosses": [
"A binary map in a given ring R, given by [a, b] = ab − ba, where a and b are elements of R, which yields the ring's zero element if and only if the multiplication operation commutes for a and b."
],
"id": "en-commutator-en-noun-PQcq~qqT",
"links": [
[
"ring",
"ring"
],
[
"zero",
"zero"
],
[
"element",
"element"
]
],
"qualifier": "ring theory",
"raw_glosses": [
"(ring theory) A binary map in a given ring R, given by [a, b] = ab − ba, where a and b are elements of R, which yields the ring's zero element if and only if the multiplication operation commutes for a and b."
]
}
],
"translations": [
{
"_dis1": "24 39 36",
"code": "de",
"lang": "German",
"sense": "binary function in a ring",
"tags": [
"masculine"
],
"word": "Kommutator"
},
{
"_dis1": "24 39 36",
"code": "ja",
"lang": "Japanese",
"roman": "kōkanshi",
"sense": "binary function in a ring",
"word": "交換子"
},
{
"_dis1": "24 39 36",
"code": "sv",
"lang": "Swedish",
"sense": "binary function in a ring",
"tags": [
"common-gender"
],
"word": "kommutator"
},
{
"_dis1": "24 39 36",
"code": "tr",
"lang": "Turkish",
"sense": "binary function in a ring",
"word": "değişeç"
}
],
"wikipedia": [
"commutator",
"commutator (electric)"
],
"word": "commutator"
}
{
"forms": [
{
"form": "commūtātor",
"tags": [
"canonical"
]
}
],
"head_templates": [
{
"args": {
"1": "la",
"2": "verb form",
"head": "commūtātor"
},
"expansion": "commūtātor",
"name": "head"
}
],
"lang": "Latin",
"lang_code": "la",
"pos": "verb",
"senses": [
{
"categories": [
{
"kind": "other",
"name": "Latin entries with incorrect language header",
"parents": [
"Entries with incorrect language header",
"Entry maintenance"
],
"source": "w"
}
],
"form_of": [
{
"word": "commūtō"
}
],
"glosses": [
"second/third-person singular future passive imperative of commūtō"
],
"id": "en-commutator-la-verb-n6ndBdMB",
"links": [
[
"commūtō",
"commuto#Latin"
]
],
"tags": [
"form-of",
"future",
"imperative",
"passive",
"second-person",
"singular",
"third-person"
]
}
],
"word": "commutator"
}
{
"categories": [
"English back-formations",
"English countable nouns",
"English entries with incorrect language header",
"English lemmas",
"English links with manual fragments",
"English nouns"
],
"derived": [
{
"word": "anticommutator"
},
{
"word": "commutator length"
},
{
"word": "commutatorless"
},
{
"word": "commutator subgroup"
},
{
"word": "multicommutator"
},
{
"word": "self-commutator"
}
],
"etymology_templates": [
{
"args": {
"1": "en",
"2": "commutation#Etymology_1"
},
"expansion": "Back-formation from commutation",
"name": "back-formation"
},
{
"args": {
"1": "en",
"2": "commutate",
"pos": "v"
},
"expansion": "commutate (verb)",
"name": "m"
}
],
"etymology_text": "Back-formation from commutation (in the late 19th century), as is commutate (verb) too.",
"forms": [
{
"form": "commutators",
"tags": [
"plural"
]
}
],
"head_templates": [
{
"args": {},
"expansion": "commutator (plural commutators)",
"name": "en-noun"
}
],
"lang": "English",
"lang_code": "en",
"pos": "noun",
"related": [
{
"word": "nilpotent group"
},
{
"word": "solvable group"
}
],
"senses": [
{
"glosses": [
"An electrical switch, in a generator or motor, that periodically reverses the direction of an electric current."
],
"links": [
[
"electrical",
"electrical"
],
[
"switch",
"switch"
],
[
"generator",
"generator"
],
[
"motor",
"motor"
],
[
"periodically",
"periodically"
],
[
"reverse",
"reverse"
],
[
"direction",
"direction"
],
[
"electric current",
"electric current"
]
],
"synonyms": [
{
"tags": [
"dated"
],
"word": "rheotrope"
},
{
"tags": [
"dated"
],
"word": "electrepeter"
}
]
},
{
"categories": [
"en:Group theory"
],
"glosses": [
"A binary map in a given group G, given by [g, h] = ghg⁻¹h⁻¹, where g and h are elements of G, which yields the group's identity if and only if the group operation commutes for g and h."
],
"links": [
[
"group theory",
"group theory"
],
[
"group",
"group"
],
[
"element",
"element"
],
[
"identity",
"identity"
],
[
"commute",
"commute"
]
],
"raw_glosses": [
"(group theory) A binary map in a given group G, given by [g, h] = ghg⁻¹h⁻¹, where g and h are elements of G, which yields the group's identity if and only if the group operation commutes for g and h."
],
"topics": [
"group-theory",
"mathematics",
"sciences"
]
},
{
"glosses": [
"A binary map in a given ring R, given by [a, b] = ab − ba, where a and b are elements of R, which yields the ring's zero element if and only if the multiplication operation commutes for a and b."
],
"links": [
[
"ring",
"ring"
],
[
"zero",
"zero"
],
[
"element",
"element"
]
],
"qualifier": "ring theory",
"raw_glosses": [
"(ring theory) A binary map in a given ring R, given by [a, b] = ab − ba, where a and b are elements of R, which yields the ring's zero element if and only if the multiplication operation commutes for a and b."
]
}
],
"translations": [
{
"code": "fi",
"lang": "Finnish",
"sense": "electrical switch",
"word": "virrankäännin"
},
{
"code": "fi",
"lang": "Finnish",
"sense": "electrical switch",
"word": "kommutaattori"
},
{
"code": "ja",
"lang": "Japanese",
"roman": "seiryūshi",
"sense": "electrical switch",
"word": "整流子"
},
{
"code": "mi",
"lang": "Maori",
"sense": "electrical switch",
"word": "pūhuri hiko"
},
{
"code": "ro",
"lang": "Romanian",
"sense": "electrical switch",
"tags": [
"neuter"
],
"word": "colector de comutație"
},
{
"code": "ro",
"english": "electric",
"lang": "Romanian",
"sense": "electrical switch",
"tags": [
"neuter"
],
"word": "colector"
},
{
"code": "sv",
"lang": "Swedish",
"sense": "electrical switch",
"tags": [
"common-gender"
],
"word": "kommutator"
},
{
"code": "hu",
"lang": "Hungarian",
"sense": "binary function in a group",
"word": "kommutátor"
},
{
"code": "ja",
"lang": "Japanese",
"roman": "kōkanshi",
"sense": "binary function in a group",
"word": "交換子"
},
{
"code": "pt",
"lang": "Portuguese",
"sense": "binary function in a group",
"tags": [
"masculine"
],
"word": "comutador"
},
{
"code": "tr",
"lang": "Turkish",
"sense": "binary function in a group",
"word": "değişeç"
},
{
"code": "de",
"lang": "German",
"sense": "binary function in a ring",
"tags": [
"masculine"
],
"word": "Kommutator"
},
{
"code": "ja",
"lang": "Japanese",
"roman": "kōkanshi",
"sense": "binary function in a ring",
"word": "交換子"
},
{
"code": "sv",
"lang": "Swedish",
"sense": "binary function in a ring",
"tags": [
"common-gender"
],
"word": "kommutator"
},
{
"code": "tr",
"lang": "Turkish",
"sense": "binary function in a ring",
"word": "değişeç"
}
],
"wikipedia": [
"commutator",
"commutator (electric)"
],
"word": "commutator"
}
{
"forms": [
{
"form": "commūtātor",
"tags": [
"canonical"
]
}
],
"head_templates": [
{
"args": {
"1": "la",
"2": "verb form",
"head": "commūtātor"
},
"expansion": "commūtātor",
"name": "head"
}
],
"lang": "Latin",
"lang_code": "la",
"pos": "verb",
"senses": [
{
"categories": [
"Latin entries with incorrect language header",
"Latin non-lemma forms",
"Latin verb forms"
],
"form_of": [
{
"word": "commūtō"
}
],
"glosses": [
"second/third-person singular future passive imperative of commūtō"
],
"links": [
[
"commūtō",
"commuto#Latin"
]
],
"tags": [
"form-of",
"future",
"imperative",
"passive",
"second-person",
"singular",
"third-person"
]
}
],
"word": "commutator"
}
This page is a part of the kaikki.org machine-readable All languages combined dictionary. This dictionary is based on structured data extracted on 2024-05-01 from the enwiktionary dump dated 2024-04-21 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.