finitely generated abelian group

finitely generated abelian group的基本解释

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有限生成阿贝耳群

与finitely generated abelian group相关的网络例句 [注：此内容来源于网络，仅供参考]

A group is '''finitely generated'''(respectively '''finitely related''','''finitely presented''') if it has a presentation that is finitely generated (respectively finitely related, a finite presentation).

群是'''有限生成'''的(分别为'''有限关联'''的，'''有限展现'''的)，如果它有有限生成的(分别为有限关联的，有限展示的)的展示。

Arad and Blau proved that an abelian table algebra can be viewed as a group algebra of some abelian group G. Chapter 3 of this paper gives the structural theorem of abelian table algebras by defining a group structure in table basis. Furthermore, the structure of elementary abelian table algebras is discussed using the number of composition series of table algebras.

Arad和Blau证明了abel表代数等价于某个有限生成abel群G的群代数，受此启发本文第3节通过定义表基的一个群结构给出了abel表代数的结构定理，并从合成列数目的角度对初等abel表代数进行了细致刻画。

Theorem 2.1.4 The following statements are equivalent for a ring R:(1) R is left co-semihereditary;(2) every finitely cogenerated factor module of a finitely cogenerated injective R-module is quasi-injective;(3) every finitely cogenerated factor module of a finitely cogenerated injective R-module is direct-injective.

an环 R下列叙述等价： l）R的每个商环是强左余半遗传的； 2）R的每个商环是左余半遗传的； 3）拟内射R模的每个有限余生成商模是拟内射的； 4）有限余生成拟内射R－模的每个有限余生成商是直内射的； 5）有限余生成fi－(来源：A3fBC论文网www.abclunwen.com)拟内射R－模的有限余生成商模是拟内射的。

与finitely generated abelian group相关的网络解释 [注：此内容来源于网络，仅供参考]

finitely generated abelian group：有限生成阿贝耳群

finitely generatable vector space 有限可生成向量空间 | finitely generated abelian group 有限生成阿贝耳群 | finitely generated algebra 有限生成代数

finitely generated abelian group：有限生成阿贝尔群

有限群的完全分解|complete resolution for finite groups | 有限生成阿贝尔群|finitely generated Abelian group | 有限生成模|finitely generated module