On sπ-Weakly Regular 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, aÎ 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.

Keywords

• weakly regular rings
• reduced rings
• p-biregular rings