串行模块直接求和

IF 17.7 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY Accounts of Chemical Research Pub Date : 2024-01-31 DOI:10.29020/nybg.ejpam.v17i1.4973

Alhousseynou Ba, M. A. Diompy, A. S. Diabang

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引用次数: 0

摘要

假设 R 是一个关联环，M 是一个单元左 R 模块。如果 R 模块 M 的子模块通过包含线性有序，则称其为单列模块。序列模块是单列模块的直接和。阿尔贝托-法奇尼在《模块理论》一书中提出了一个悬而未决的问题：序列模块的任何直接和都是序列的吗？对于特定的环和 R 模块，答案是肯定的。

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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Direct Summand of Serial Modules

Let R be an associative ring and M a unitary left R-module. An R-module M is said to be uniserial if its submodules are linearly ordered by inclusion. A serial module is a direct sum of uniserial modules. In this paper, we bring our modest contribution to the open problem listed in the book of Alberto Facchini "Module Theory" which states that is any direct summand of a serial module serial? The answer is yes for particular rings and R-modules.

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来源期刊

Accounts of Chemical Research 化学-化学综合

CiteScore

31.40

自引率

1.10%

发文量

312

审稿时长

2 months

期刊介绍： Accounts of Chemical Research presents short, concise and critical articles offering easy-to-read overviews of basic research and applications in all areas of chemistry and biochemistry. These short reviews focus on research from the author’s own laboratory and are designed to teach the reader about a research project. In addition, Accounts of Chemical Research publishes commentaries that give an informed opinion on a current research problem. Special Issues online are devoted to a single topic of unusual activity and significance. Accounts of Chemical Research replaces the traditional article abstract with an article "Conspectus." These entries synopsize the research affording the reader a closer look at the content and significance of an article. Through this provision of a more detailed description of the article contents, the Conspectus enhances the article's discoverability by search engines and the exposure for the research.