Soc-injective rings and modules

被引：27

作者：

Amin, I

Yousif, M ^{[1
]}

Zeyada, N

机构：

[1] Ohio State Univ, Dept Math, Lima, OH 45804 USA

[2] Cairo Univ, Fac Sci, Dept Math, Giza, Egypt

来源：

COMMUNICATIONS IN ALGEBRA | 2005年 / 33卷 / 11期

关键词：

injective modules; self-injective rings; simple-injective rings; socle-injective modules; socle-injective rings;

D O I：

10.1080/00927870500279001

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

If M and N are right R-modules, M is called Socle-N-injective (Soc-N-injective) if every R-homomorphism from the socle of N into M extends to N. Equivalently, for every semisimple submodule K of N , any R-homomorphism f:K -> M extends to N . In this article, we investigate the notion of soc-injectivity.

引用

页码：4229 / 4250

页数：22

共 31 条

[1]

Anderson F. W., 1974, RINGS CATEGORIES MOD, V13

[2]

Bjork J. E., 1970, J REINE ANGEW MATH, V245, P63

[3] Ikeda-Nakayama rings [J].