On FGS-Duo-Rings

Barry, Mamadou; Sanghare, Mamadou; Toure, Sidy Demba
August 2007
Global Journal of Pure & Applied Mathematics;2007, Vol. 3 Issue 2, p125
Academic Journal
unital left R-module RM is said to have property (S) if every surjective endomorphism of RM is an automorphism, the ring R is called left (right) FGS-ring if every left (right) R-module with property (S) is finitely generated, R is called FGS-ring if it is both a left and right FGS-ring. A ring R is called duo - ring if every left (right) ideal of R is a two sided ideal. In this note we show that a duo-ring is a FGS-ring if and only if it is an Artinian principal ideal ring.


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