SpringerIranian Journal of Science and Technology (Sciences)1028-627638120140315A generalization of reversible rings4348190310.22099/ijsts.2014.1903ENH.KoseDepartment of Mathematics, Ahi Evran University, TurkeyB.UngorDepartment of Mathematics, Ankara University, TurkeyS.HaliciogluDepartment of Mathematics, Ankara University, TurkeyA.HarmanciDepartment of Mathematics, Hacettepe University, TurkeyJournal Article20120516In this paper, we introduce a class of rings which is a generalization of reversible rings. Let <em>R</em> be a ring with identity. A ring <em>R</em> is called <em>central reversible</em> if for any <em>a,b </em><em>∈</em><em> R</em>, <em>ab=0</em> implies ba belongs to the center of <em>R</em>. 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.http://ijsts.shirazu.ac.ir/article_1903_b2e2f0b6241673511390fa2dd9190786.pdf