在fi可伸缩模块上

Q4 Mathematics

Mathematica Pub Date : 2022-04-15 DOI:10.24193/mathcluj.2022.1.04

Marziyeh Atashkar, Y. Talebi

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引用次数: 0

摘要

引入了可伸缩模的广义概念fi -可伸缩模。如果对于M的每一个非零完全不变子模N, hm (M,N)不为0，则一个模称为fi可伸缩模。我们将继续研究fi可伸缩模块。除其他结构性质外，我们还处理fi可伸缩模块的直接和和和。本文的最后一部分研究了End(M)，使得M是fi可伸缩的。

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On FI-retractable modules

We introduce the notion of FI-retractable modules which is a generalization of retractable modules. A module is called FI-retractable if for every nonzero fully invariant submodule N of M, Hom(M,N) is not 0. Wee continue the study of FI-retractable modules. Amongst other structural properties, we also deal direct sums and direct summands of FI-retractable modules. The last section of the paper is devoted to study of End(M), such that M is FI-retractable.

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来源期刊

Mathematica Mathematics-Mathematics (all)

CiteScore

0.30

自引率

0.00%

发文量