Affiliation:
1. School of Mathematics, Yangzhou University, Yangzhou 225002, China
Abstract
We introduce in this paper the concept of left rings and concern ourselves with rings containing an injective maximal left ideal. Some known results for left idempotent reflexive rings and left rings can be extended to left rings. As applications, we are able to give some new characterizations of regular left self-injective rings with nonzero socle and extend some known results on strongly regular rings.
Subject
Mathematics (miscellaneous)