On Some Generalizations of Reversible and Semicommutative Rings

Authors : Arnab BHATTACHARJEE, Uday Shankar CHAKRABORTY

Pages : 11-27

Doi:10.24330/ieja.325916

View : 15 | Download : 12

Publication Date : 2017-07-11

Article Type : Research Paper

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., 52insert ignore into journalissuearticles values(1); insert ignore into journalissuearticles values(2015);, 247-261] has been answered.
Keywords : Strongly central reversible ring, strongly central semicommutative ring