Springer Iranian Journal of Science 2731-8095 38 1 2014 03 15 A generalization of reversible rings 43 48 1903 10.22099/ijsts.2014.1903 EN H. Kose Department of Mathematics, Ahi Evran University, Turkey B. Ungor Department of Mathematics, Ankara University, Turkey S. Halicioglu Department of Mathematics, Ankara University, Turkey A. Harmanci Department of Mathematics, Hacettepe University, Turkey Journal Article 2012 05 16 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.

https://ijsts.shirazu.ac.ir/article_1903_b2e2f0b6241673511390fa2dd9190786.pdf