柔性模块和分级环

IF 0.4 Q4 MATHEMATICS
Fida Moh'd, Mamoon Ahmed, Mashoor Refai
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引用次数: 0

摘要

如果每个G∈G的Mg=RgMe,则G分次R−模称为柔性模。本文从不同方面研究了柔性模与分次环R之间的关系。一方面,我们通过表征柔性问题模块的电子成分对分级模块本身的影响,将柔性模块与其他分级模块区分开来。另一方面,我们以一种相对简单的方式将柔性分次模覆盖的类扩展为包括自由模和投影模。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Flexible modules and graded rings
A G−graded R−module is called flexible if Mg = RgMe for every g ∈ G. In this paper, we study the relationship between a flexible module and the graded ring R through different aspects. On one hand, we distinguish the flexible modules from other graded modules by characterizing the influence of the e-component of a flexiblemodule on the graded module itself. On the other hand, we extend the class covered by flexible graded modules to include free and projective modules in a comparatively simple manner.
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来源期刊
CiteScore
1.40
自引率
0.00%
发文量
140
审稿时长
25 weeks
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