On modules and rings having large absolute direct summands

被引：5

作者：

Dao Thi, Trang ^{[1
]}

Kosan, M. Tamer ^{[2
]}

Tasdemir, Ozgur ^{[3
]}

Quynh, Truong Cong ^{[4
]}

机构：

[1] Ho Chi Minh City Univ Food Ind, Fac Appl Sci, Ho Chi Minh City, Vietnam

[2] Gazi Univ, Fac Sci, Dept Math, Ankara, Turkiye

[3] Trakya Univ, Fac Econ & Adm Sci, Dept Business Adm, Balkan Campus, Edirne, Turkiye

[4] Univ Danang, Univ Sci & Educ, Dept Math, Danang City, Vietnam

来源：

COMMUNICATIONS IN ALGEBRA | 2023年 / 51卷 / 12期

关键词：

Automorphism-invariant module; CS module; essentially injective; fully invariant submodule; (large) ADS module; (large) ADS ring; ADS MODULES;

D O I：

10.1080/00927872.2023.2223301

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

An ADS module is a direct sum of mutually injective modules, and an e-ADS module is a direct sum of mutually automorphism-invariant modules. In this paper, we introduce and study large ADS (LADS) modules that form a class of modules larger than ADS modules. An LADS module is a direct sum of mutually essentially injective modules. This result corresponds to the results of ADS and e-ADS modules.Communicated by Toma Albu

引用

页码：4949 / 4961

页数：13

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