See commutator on Wiktionary
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"other", "name": "Terms with Romanian translations", "parents": [], "source": "w+disamb" }, { "_dis": "21 39 39", "kind": "other", "name": "Terms with Swedish translations", "parents": [], "source": "w+disamb" }, { "_dis": "21 39 39", "kind": "other", "name": "Terms with Turkish translations", "parents": [], "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": "21 41 39", "code": "de", "lang": "German", "sense": "binary function in a ring", "tags": [ "masculine" ], "word": "Kommutator" }, { "_dis1": "21 41 39", "code": "ja", "lang": "Japanese", "roman": "kōkanshi", "sense": "binary function in a ring", "word": "交換子" }, { "_dis1": "21 41 39", "code": "sv", "lang": "Swedish", "sense": "binary function in a ring", "tags": [ "common-gender" ], "word": "kommutator" }, { "_dis1": "21 41 39", "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 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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 2025-01-18 from the enwiktionary dump dated 2025-01-01 using wiktextract (e4a2c88 and 4230888). 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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