科研之友
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摘要
In this paper, we show the following results: (1) R is a min-leftsemicentral ring if and only if eR(1 - e)Re = 0 for all e is an element of ME(l)(R); (2) Quasi-normal rings, NI rings and weakly reversible rings are all min-leftsemicentral ring; (3) R is left MC2 ring if and only if aRe = 0 implies eRa = 0 for all e is an element of M E(l)(R) and a is an element of R if and only if every projective simple left R-module is MUP-injective; (4) R is reduced if and only if R is n-regular and quasi-normal if and only if R is n-regular and weakly reversible; (5) R is strongly regular if and only if R is regular and quasi-normal if and only if R is regular and weakly reversible.
- 出版日期2011
- 单位扬州大学
