w -可见子模块和w -完全可见模块

Mahmood S. Fiadh, B. N. Shihab, Munther H. Abed
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引用次数: 0

摘要

本文提出了一种弱于可见子模的特殊子模W-可见子模,其中对于T的非零固有理想I,如果W = IW,则T模X的固有子模W是W-可见的。同时,我们提出了W-完全可见模的概念,即如果X的任何固有子模是W-可见的子模,则T上的模X是W-完全可见的。这个概念被认为比全可见模块的概念弱。在这项研究中,我们获得了许多属于这一概念的结果和特征
本文章由计算机程序翻译,如有差异,请以英文原文为准。
W-visible submodules and W-fully visible modules
In this paper, we presented a special type of submodule named W-visible submodule, which is weaker than the visible submodule, where a proper submodule W of a T-module X is said to be W-visible if W = IW for some non-zero proper ideal I of T. Also, we presented the concept of W-fully visible module, where a module X over a ring T is said to be W-fully visible if any proper submodule of X is W-visible submodule. This concept is considered weaker than the concept of fully visible module. In this study, we achieved numerous results and characteristics that belong to this concept
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CiteScore
4.30
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