Left ð ‘Š ð ‘€ ð ¶ 2 Rings

Junchao Wei

International Journal of Mathematics and Mathematical Sciences, 2011, vol. 2011, 1-8

Abstract:

We introduce in this paper the concept of left ð ‘Š ð ‘€ ð ¶ 2 rings and concern ourselves with rings containing an injective maximal left ideal. Some known results for left idempotent reflexive rings and left ð » ð ¼ rings can be extended to left ð ‘Š ð ‘€ ð ¶ 2 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.

Date: 2011
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:294301

DOI: 10.1155/2011/294301

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