- commutative group
- (abelian group) абелева (коммутативная) группа
Англо-русский словарь по компьютерной безопасности. Академик.ру. 2011.
commutative group
Смотреть что такое "commutative group" в других словарях:
commutative group — noun a group that satisfies the commutative law • Syn: ↑Abelian group • Hypernyms: ↑group, ↑mathematical group … Useful english dictionary
Commutative property — For other uses, see Commute (disambiguation). In mathematics an operation is commutative if changing the order of the operands does not change the end result. It is a fundamental property of many binary operations, and many mathematical proofs… … Wikipedia
Group ring — This page discusses the algebraic group ring of a discrete group; for the case of a topological group see group algebra, and for a general group see Group Hopf algebra. In algebra, a group ring is a free module and at the same time a ring,… … Wikipedia
Group scheme — In mathematics, a group scheme is a group object in the category of schemes. That is, it is a scheme G with the equivalent properties* there is a group law expressible as a multiplication μ and inversion map ι on G ; or * G is a functor (as in… … Wikipedia
commutative — adjective Date: 1612 1. of, relating to, or showing commutation 2. of, relating to, having, or being the property that a given mathematical operation and set have when the result obtained using any two elements of the set with the operation does… … New Collegiate Dictionary
Commutative ring — In ring theory, a branch of abstract algebra, a commutative ring is a ring in which the multiplication operation is commutative. The study of commutative rings is called commutative algebra. Some specific kinds of commutative rings are given with … Wikipedia
group theory — the branch of mathematics that deals with the structure of mathematical groups and mappings between them. [1895 1900] * * * In modern algebra, a system consisting of a set of elements and an operation for combining the elements, which together… … Universalium
Group representation — In the mathematical field of representation theory, group representations describe abstract groups in terms of linear transformations of vector spaces; in particular, they can be used to represent group elements as matrices so that the group… … Wikipedia
Group homomorphism — In mathematics, given two groups ( G , *) and ( H , ·), a group homomorphism from ( G , *) to ( H , ·) is a function h : G → H such that for all u and v in G it holds that: h(u*v) = h(u) h(v) where the group operation on the left hand side of the … Wikipedia
commutative — [kə mju:tətɪv, kɒmjʊˌtətɪv] adjective Mathematics involving the condition that a group of quantities connected by operators gives the same result whatever the order of the quantities involved, e.g. a × b = b × a … English new terms dictionary
Abelian group — For other uses, see Abelian (disambiguation). Abelian group is also an archaic name for the symplectic group Concepts in group theory category of groups subgroups, normal subgroups group homomorphisms, kernel, image, quotient direct product,… … Wikipedia
