# Artinian group

Artinian group
Математика: артинова группа (группа с условием минимальности для подгрупп)

Универсальный англо-русский словарь. . 2011.

### Смотреть что такое "Artinian group" в других словарях:

• Artinian module — In abstract algebra, an Artinian module is a module that satisfies the descending chain condition on its submodules. They are for modules what Artinian rings are for rings, and a ring is Artinian if and only if it is an Artinian module over… …   Wikipedia

• Prüfer group — In mathematics, specifically group theory, the Prüfer p group or the p quasicyclic group or p infin; group, Z( p infin;), for a prime number p is the unique torsion group in which every element has p p th roots.*The Prüfer p group may be… …   Wikipedia

• Glossary of group theory — A group ( G , •) is a set G closed under a binary operation • satisfying the following 3 axioms:* Associativity : For all a , b and c in G , ( a • b ) • c = a • ( b • c ). * Identity element : There exists an e ∈ G such that for all a in G , e •… …   Wikipedia

• Morton's Restaurant Group — Morton s redirects here. For other uses, see Morton. Morton s Restaurant Group, Inc. Type Public Traded as NYSE:  …   Wikipedia

• Subgroup series — In mathematics, a subgroup series is a chain of subgroups: Subgroup series can simplify the study of a group to the study of simpler subgroups and their relations, and several subgroup series can be invariantly defined and are important… …   Wikipedia

• Semisimple module — In mathematics, especially in the area of abstract algebra known as module theory, a semisimple module or completely reducible module is a type of module that can be understood easily from its parts. A ring which is a semisimple module over… …   Wikipedia

• Serial module — Chain ring redirects here. For the bicycle part, see Chainring. In abstract algebra, a uniserial module M is a module over a ring R, whose submodules are totally ordered by inclusion. This means simply that for any two submodules N1 and N2 of M,… …   Wikipedia

• Glossary of ring theory — Ring theory is the branch of mathematics in which rings are studied: that is, structures supporting both an addition and a multiplication operation. This is a glossary of some terms of the subject. Contents 1 Definition of a ring 2 Types of… …   Wikipedia

• Injective module — In mathematics, especially in the area of abstract algebra known as module theory, an injective module is a module Q that shares certain desirable properties with the Z module Q of all rational numbers. Specifically, if Q is a submodule of some… …   Wikipedia

• List of mathematics articles (A) — NOTOC A A Beautiful Mind A Beautiful Mind (book) A Beautiful Mind (film) A Brief History of Time (film) A Course of Pure Mathematics A curious identity involving binomial coefficients A derivation of the discrete Fourier transform A equivalence A …   Wikipedia

• Nicolae Popescu — Nicolae Popescu, Ph.D., D.Phil. Born 22 September 1937(1937 09 22) Strehaia, Romania Died 29 July 2010(201 …   Wikipedia

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