A GENERALIZATION OF SIMPLE-INJECTIVE RINGS

Authors : Zhu ZHANMİN

Pages : 76-86

Doi:10.24330/ieja.586952

View : 17 | Download : 13

Publication Date : 2019-07-11

Article Type : Research Paper

Abstract :A ring R is called right 2-simple J-injective if, for every 2-generated right ideal I < Jinsert ignore into journalissuearticles values(R);, every R-linear map from I to R with simple image ex tends 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