有限半简单(ss-)提升模块

Yüzüncü Yıl Üniversitesi Fen Bilimleri Enstitüsü Dergisi Pub Date : 2023-04-03 DOI:10.53433/yyufbed.1143435

F. Eryilmaz

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引用次数: 0

摘要

$R-$模块$N$被命名为cofinfinite半简单提升或cofinfinite $ss-$提升对于$N$的每个cofinfinite子模块$S$, $N$有一个分解$N=U'\oplus V$，这样$U'\subseteq S$和$S\cap V\subseteq Soc_{s}(V)$。本文给出了该定义的等价条件。此外，本文还考察了这一概念的基本特征。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Cofinitely Semisimple (ss-) Lifting Modules

An $R-$module $N$ is named cofinitely semisimple lifting or briefly cofinitely $ss-$lifting if for each cofinite submodule $S$ of $N$, $N$ has a decomposition $N=U'\oplus V$ such that $U'\subseteq S$ and $S\cap V\subseteq Soc_{s}(V)$. In this study, equivalent conditions to this definition are given. In addition, the basic features of this concept defined in this article are examined.

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Yüzüncü Yıl Üniversitesi Fen Bilimleri Enstitüsü Dergisi

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