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http://dx.doi.org/10.5831/HMJ.2020.42.1.93

A KIND OF NORMALITY RELATED TO REGULAR ELEMENTS  

Huang, Juan (Department of Mathematics, Yanbian University)
Piao, Zhelin (Department of Mathematics, Yanbian University)
Publication Information
Honam Mathematical Journal / v.42, no.1, 2020 , pp. 93-103 More about this Journal
Abstract
This article concerns a property of Abelain π-regular rings. A ring R shall be called right quasi-DR if for every a ∈ R there exists n ≥ 1 such that C(R)an ⊆ aR, where C(R) means the monoid of regular elements in R. The relations between the right quasi-DR property and near ring theoretic properties are investigated. We next show that the class of right quasi-DR rings is quite large.
Keywords
right quasi-DR ring; regular element; weakly right DR ring; Abelian ring; ${\pi}$-regular ring; left-right symmetric; matrix ring; involution; Dorroh extension;
Citations & Related Records
Times Cited By KSCI : 3  (Citation Analysis)
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