Sign in
Back
Soc-Injective Rings and Modules
Journal article   Peer reviewed

Soc-Injective Rings and Modules

Ismail Amin, Mohamed Yousif and Nasr Zeyada
Communications in algebra, Vol.33(11), pp.4229-4250
01/10/2005
DOI: https://doi.org/10.1080/00927870500279001

Abstract

Injective modules Primary 16D50, 16D60 Secondary 16P20, 16P40 Self-injective rings Simple-injective rings Socle-injective modules Socle-injective rings
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.

Metrics

2 Record Views

Details