Generalized weakly central reduced rings

Authors : YING ZHOU, JUNCHAO WEI

Pages : 604-617

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Publication Date : 0000-00-00

Article Type : Research Paper

Abstract :A ring $R$ is called $GWCN$ if $x^2y^2=xy^2x$ for all $x\in Ninsert ignore into journalissuearticles values(R);$ and $y\in R$, which is a proper generalization of reduced rings and $CN$ rings. We study the sufficient conditions for $GWCN$ rings to be reduced and $CN$. We first discuss many properties of $GWCN$ rings. Next, we give some interesting characterizations of left min-abel rings. Finally, with the help of exchange $GWCN$ rings, we obtain some characterizations of strongly regular rings.
Keywords : GWCN rings, CN rings, reduced rings, strongly regular rings, left min abel rings, exchange rings, clean rings