# Commutative group

commutative group

A mathematical group in which the result of multiplying one member by another is independent of the order of multiplication. Also called abelian group.

Tagged: c

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- Commutative-law
noun, Logic. 1. a law asserting that the order in which certain logical operations are performed is indifferent. noun in mathematics, a law stating that the order of the terms or factors is irrelevant in combining or multiplying quantities in algebra or arithmetic Examples Commutative law says that changing the order does not change the […]

- Commutatively
[kuh-myoo-tuh-tiv, kom-yuh-tey-tiv] /kəˈmyu tə tɪv, ˈkɒm yəˌteɪ tɪv/ adjective 1. of or relating to commutation, exchange, substitution, or interchange. 2. Mathematics. /kəˈmjuːtətɪv; ˈkɒmjʊˌteɪtɪv/ adjective 1. relating to or involving substitution 2. (maths, logic) adj. 1530s, from Medieval Latin commutativus, from Latin commutat-, past participle stem of commutare (see commute (v.)). commutative (kə-my’tə-tĭv, kŏm’yə-tā’tĭv) Of or […]

- Commutator
[kom-yuh-tey-ter] /ˈkɒm yəˌteɪ tər/ noun 1. Electricity. 2. Mathematics. the element equal to the product of two given elements in a group multiplied on the right by the product of the inverses of the elements. /ˈkɒmjʊˌteɪtə/ noun 1. a device used to reverse the direction of flow of an electric current 2. the segmented metal […]

- Commutator-group
noun, Mathematics. 1. the subgroup of a given group, which consists of all the commutators in the group.