c闭子模块上的求和交集属性

Q2 Mathematics

Annali dell''Universita di Ferrara Pub Date : 2025-06-30 DOI:10.1007/s11565-025-00601-4

Enas Mustafa Kamil

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引用次数: 0

摘要

在本文中，我们定义了C闭子模块上的（强）和交性质，简称（\({SSIP}^{c}\)） \({SIP}^{c}\)，当且仅当C闭子模块的任意一对C闭直接和的交是C的（完全不变）和。同时，当C闭子模块是“完全不变和”时，我们引入了强CCLS。我们将说明这些模块的结构特征，并在模块的一些属性中定位这些含义。

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Summand intersection property on c-closed submodules

A module C is said to have the SIP when the intersection of any pair of direct summands of C is also a summand of C. In this manuscript, we define (strongly) summand intersection property on c-closed submodules, for short (\({SSIP}^{c}\)) \({SIP}^{c}\) if and only if the intersection of any pair of c-closed direct summands of C is (fully invariant) summand of C. Also, we introduced strongly CCLS if each c-closed submodule of C is a "fully invariant summand". We illustrate the structural features of these modules and locate these implications among some of modules’ properties.

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来源期刊

Annali dell''Universita di Ferrara Mathematics-Mathematics (all)

CiteScore

1.70

自引率

0.00%

发文量

期刊介绍： Annali dell''Università di Ferrara is a general mathematical journal publishing high quality papers in all aspects of pure and applied mathematics. After a quick preliminary examination, potentially acceptable contributions will be judged by appropriate international referees. Original research papers are preferred, but well-written surveys on important subjects are also welcome.