On Some Generalizations of Reversible and Semicommutative Rings

Abstract

The concept of strongly central reversible rings has beenintroduced in this paper. It has been shown that the class ofstrongly central reversible rings properly contains the class ofstrongly reversible rings and is properly contained in the classof central reversible rings. Various properties of theabove-mentioned rings have been investigated. The concept ofstrongly central semicommutative rings has also been introducedand its relationships with other rings have been studied. Finallyan open question raised in [D. W. Jung, N. K. Kim, Y. Lee and S.J. Ryu, Bull. Korean Math. Soc., 52(1) (2015), 247-261] has beenanswered.