Abstract
AbstractWe introduce in this paper the concepts of rings characterized by minimal one-sided ideals and concern ourselves with rings containing an injective maximal left ideal. Some known results for idempotent reflexive rings and left HI rings can be extended to left MC2 rings. As applications, we are able to give some new characterizations of regular left self-injective rings with non-zero socle and extend some known results for strongly regular rings.
Publisher
Cambridge University Press (CUP)
Cited by
4 articles.
订阅此论文施引文献
订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献
1. Morita contexts and the projective socle property;International Journal of Algebra and Computation;2022-09-16
2. Weakly-Abel rings and weakly exchange rings;Acta Mathematica Hungarica;2012-08-01
3. Left Rings;International Journal of Mathematics and Mathematical Sciences;2011
4. Some Notes on Semiabelian Rings;International Journal of Mathematics and Mathematical Sciences;2011