Generalized weakly central reduced rings | Zendy

Ying Zhou | Zendy; Junchao Wei | Zendy

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Generalized weakly central reduced rings

Author(s) -

Ying Zhou,

Junchao Wei

Publication year - 2015

Publication title -

turkish journal of mathematics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.454

H-Index - 27

eISSN - 1303-6149

pISSN - 1300-0098

DOI - 10.3906/mat-1406-29

Subject(s) - mathematics , generalization , von neumann regular ring , ring (chemistry) , pure mathematics , local ring , combinatorics , discrete mathematics , mathematical analysis , chemistry , organic chemistry

A ring $R$ is called $GWCN$ if $x^2y^2=xy^2x$ for all $x\in N(R)$ 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.

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