On Some Generalizations of Reversible and Semicommutative Rings

Abstract

The concept of strongly central reversible rings has been
introduced in this paper. It has been shown that the class of
strongly central reversible rings properly contains the class of
strongly reversible  rings and is properly contained in the class
of central reversible rings. Various properties of the
above-mentioned rings have been investigated. The concept of
strongly central semicommutative rings has also been introduced
and its relationships with other rings have been studied. Finally
an 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 been
answered.

Keywords

• Strongly central reversible ring,strongly central semicommutative ring

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