A GENERALIZATION OF SIMPLE-INJECTIVE RINGS

Year 2019, Volume: 26 Issue: 26, 76 - 86, 11.07.2019

Zhu Zhanmin

https://doi.org/10.24330/ieja.586952

Abstract

A ring R is called right 2-simple J-injective if, for every 2-generated

right ideal I < J(R), every R-linear map from I to R with simple image extends to R. The class of right 2-simple J-injective rings is broader than that of

right 2-simple injective rings and right simple J-injective rings. Right 2-simple

J-injective right Kasch rings are studied, several conditions under which right

2-simple J-injective rings are QF-rings are given.

Keywords

2-Simple J-injective ring, Kasch ring, semilocal ring, semiperfect ring, QF-ring

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