Title of article :
A GENERALIZATION OF SIMPLE-INJECTIVE RINGS
Author/Authors :
Zhanmin , Zhu Department of Mathematics - College of Mathematics Physics and Information Engineering Jiaxing - University Jiaxing, China
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
Journal title :
International Electronic Journal of Algebra
