bn:03585294n
Noun Concept
Categories: Articles with short description, Binary operations, Abstract algebra, Mathematical identities, Group theory
EN
commutator
EN
In mathematics, the commutator gives an indication of the extent to which a certain binary operation fails to be commutative. Wikipedia
English:
physics
ring theory
group theory
Definitions
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EN
In mathematics, the commutator gives an indication of the extent to which a certain binary operation fails to be commutative. Wikipedia
A measure of the failure of two elements to be commutative in a group or ring Wikipedia Disambiguation
two similar notions: in group theory and in ring theory Wikidata
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. Wiktionary