⊕-g补充模的一些性质

IF 0.9 4区数学 Q1 Mathematics

Miskolc Mathematical Notes Pub Date : 2023-01-01 DOI:10.18514/mmn.2023.3896

C. Nebiyev, Hasan Hüseyin Ökten

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引用次数: 1

摘要

．本文定义了⊕−g−补充模，并研究了这些模的一些性质。证明了⊕−g−补模的有限直和也是⊕−g−补模。设M是一个分配且⊕−g−补充的R−模。然后M的每个因子模和同态像都被⊕−g−补充。设M是一个具有SSP性质的⊕−g−补R−模。那么M的每一个直接和都是⊕−g−补充的。

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Some Properties of ⊕-g-Supplemented Modules

. In this work ⊕− g − supplemented modules are defined and some properties of these modules are investigated. It is proved that the finite direct sum of ⊕− g − supplemented modules is also ⊕ − g − supplemented. Let M be a distributive and ⊕ − g − supplemented R − module. Then every factor module and homomorphic image of M are ⊕− g − supplemented. Let M be a ⊕ − g − supplemented R − module with SSP property. Then every direct summand of M is ⊕− g − supplemented.

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来源期刊

Miskolc Mathematical Notes Mathematics-Algebra and Number Theory

CiteScore

2.00

自引率

0.00%

发文量

期刊介绍： Miskolc Mathematical Notes, HU ISSN 1787-2405 (printed version), HU ISSN 1787-2413 (electronic version), is a peer-reviewed international mathematical journal aiming at the dissemination of results in many fields of pure and applied mathematics.