finitely generated ideal

finitely generated ideal的基本解释

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有限生成理想

与finitely generated ideal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。

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。

Not every subgroup of a D-group is also a D-group. If a subgroup is a D-group we call the subgroup "sub- D -group." The "commutator ideal" of G is the smallest sub-D-group containing its commutator subgroup. We found that the commutator ideal can be viewed as a finitely generated module over a ring when G is a finitely generated metabelian D-group.

并非每个子群都是一个可除群，若一个子群是可除群，我们称之为子可除群(sub-D-group)，而G 的交换子理想则是在G中包含其导出群的最小子可除群，我们发现当G是一个有限生成亚交换可除群时，其交换子理想是一个有限生成模。

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

finitely generated ideal：有限生成理想

finitely generated group 有限生成群 | finitely generated ideal 有限生成理想 | finitely generated module 有限生成模

finitely generated right ideal：有限生成右理想

finitely generated projective modules 有限生成射影模 | finitely generated right ideal 有限生成右理想 | finitely generated ring 有限生成环

finitely generated left ideal：有限生成左理想

finitely generated group 有限生成群 | finitely generated left ideal 有限生成左理想 | finitely generated module 有限生成模

finitely generated left ideal：有限生成左

finitely generated free modules 有限生成自由模 | finitely generated group 有限生成群 | finitely generated left ideal 有限生成左