A generalization of reversible rings

Document Type: Regular Paper

Authors

1 Department of Mathematics, Ahi Evran University, Turkey

2 Department of Mathematics, Ankara University, Turkey

3 Department of Mathematics, Hacettepe University, Turkey

Abstract

In this paper, we introduce a class of rings which is a generalization of reversible rings. Let R be a ring with identity. A ring R is called central reversible if for any a,b R, ab=0 implies ba belongs to the center of R. Since every reversible ring is central reversible, we study sufficient conditions for central reversible rings to be reversible. We prove that some results of reversible rings can be extended to central reversible rings for these general settings.

Keywords