2007•Journal of Jiangxi University of Science and TechnologyRequires access
On the Regularity of Rings
Liang Zhao
Open publisher page 0 citations
Abstract
In this paper,two results on the regularity of rings characterized by their quasi-ideal are mainly obtained:①If R is a left SPF-ring whose every maximal left ideal is a quasi-ideal,then R/J(R)is a strongly regular ring.②If R is a ring whose every maximal left ideal is a quasi-ideal,then the following statements are equivalent:R is a strongly regular ring.R is a generalized regular SI ring.Every simple left R-module is GP-injective.