commutative group


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commutative group

n.
A mathematical group in which the result of multiplying one member by another is independent of the order of multiplication. Also called abelian group.
ThesaurusAntonymsRelated WordsSynonymsLegend:
Noun1.commutative group - a group that satisfies the commutative lawcommutative group - a group that satisfies the commutative law
mathematical group, group - a set that is closed, associative, has an identity element and every element has an inverse
References in periodicals archive ?
Coverage includes a guide to closure operations in commutative algebra, a survey of test ideals, finite-dimensional vector spaces with Frobenius action, finiteness and homological conditions in commutative group rings, regular pullbacks, noetherian rings without finite normalization, Krull dimension of polynomial and power series rings, the projective line over the integers, on zero divisor graphs, and a closer look at non-unique factorization via atomic decay and strong atoms.
Semirings (called also halfrings) are algebras (R, +, x) share the same properties as a ring except that (R, +) is assumed to be a semigroup rather than a commutative group.
A solution tree is constructed from an extension tree with the property that for every leaf the coordinate group of the generalized equation associated to it is a fully residually G partially commutative group.