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Keywords

weakly regular rings
reduced rings
p-biregular rings

Abstract

A ring R is said to be right(left) sp-weakly regular if for each a Î R and a positive integer n,  aΠ aR aR (aÎ R aR a). In this paper, we continue to study sp-weakly regular rings due to R. D. Mahmood and A. M. Abdul-Jabbar [8]. We first consider properties and basic extensions of sp-weakly regular rings, and we give the connection of sp-weakly regular, semi  p-regular and p-biregular rings.    
https://doi.org/10.33899/csmj.2008.163969
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