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Unit-Regular -rings

Corresponding Author : Md. Mahbubur Rashid (mrashid_math@yahoo.com)

Authors : A. C. Paul

Keywords : unit-regular Γ- rings, radical class, regular gamma rings

Abstract :

The object of this paper is to characterize the unit-regular Γ- rings. In this paper we prove some basic properties of regular gamma rings and develop a number of equivalent characterizations of the unit regularity of regular Γ-rings. We finally prove that the class of all unit-regular Γ-rings is a radical class.  

Published on June 30th, 2014 in Volume 21, Issue 1, Applied Sciences and Technology