On Injectivity of Modules via Semisimplicity

被引：0

作者：

Nguyen Thi Thu Ha ^{[1
]}

机构：

[1] Ind Univ Ho Chi Minh city, Fac Fundamental Sci, 12 Nguyen Van Bao, Ho Chi Minh City, Vietnam

来源：

KYUNGPOOK MATHEMATICAL JOURNAL | 2022年 / 62卷 / 04期

关键词：

semisimple-M-injective; soc-injective; Noetherian ring; V-ring; RINGS; ENVELOPES; COVERS;

D O I：

10.5666/KMJ.2022.62.4.641

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

A right R-module N is called pseudo semisimple-M-injective if for any monomorphism from every semisimple submodule of M to N, can be extended to a homomorphism from M to N. In this paper, we study some properties of pseudo semisimple-injective modules. Moreover, some results of pseudo semisimple-injective modules over formal triangular matrix rings are obtained.

引用

页码：641 / 655

页数：15

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