Von neumaivn regularity of sf-rings
作者:
Zhang Jule,
Du Xianneng,
期刊:
Communications in Algebra
(Taylor Available online 1993)
卷期:
Volume 21,
issue 7
页码: 2445-2451
ISSN:0092-7872
年代: 1993
DOI:10.1080/00927879308824685
出版商: Marcel Dekker, Inc.
数据来源: Taylor
摘要:
A ringRis called left (right) SF-ring if all simple left (right)R-modules are flat. It is proved thatRis Von Neumann regular ifRis a right SF-ring whoe maximal essential right ideals are ideals. This gives the positive answer to a qestion proposed by R. Yue Chi MIng in 1985, and a counterexample is given to settle the follwoing question in the negative: IfRis an ERT ring which is one-sided V-ring, isRa left and right V-ring? Some other conditions are given for a SF-ring to be regular.
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