Author： Zhou Haiyan
Publisher： Taylor & Francis Ltd
ISSN： 0092-7872
Source： Communications in Algebra, Vol.35, Iss.12, 2007-12, pp. : 3842-3850
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Abstract
A ring R is called a left (right) SF-ring if all simple left (right) R-modules are flat. It is known that von Neumann regular rings are left and right SF-rings. In this article, we study the regularity of left SF-rings and we prove the following: 1) if R is a left SF-ring whose all complement left (right) ideals are W-ideals, then R is strongly regular; 2) if R is a left SF-ring whose all maximal essential right ideals are GW-ideals, then R is regular.
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