MC2 RINGS AND WQD RINGS*
MC2 RINGS AND WQD RINGS*
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DOI：
10.1017/s0017089509990103
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发表时间：
2009-09
影响因子：
0.5
通讯作者：
Junchao Wei;Libin Li
中科院分区：
文献类型：
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作者：
Junchao Wei;Libin Li
本文引入了极小单边理想刻画的环的概念，并研究了含有极大内射左理想的环。幂等自反环和左HI环的一些已知结果可以推广到左MC 2环。作为应用，我们给出了具有非零基柱的正则左自内射环的一些新的刻画，推广了强正则环的一些已知结果。
Abstract We 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.