On a Class of Semicommutative Rings.

In this paper, a generalization of the class of semicommutative rings is investigated. A ring R is called central semicommutative if for any a; b ∈ R, ab = 0 implies arb is a central element of R for each r ∈ R. We prove that some results on semicommutative rings can be extended to central semicommutative rings for this general settings. [ABSTRACT FROM AUTHOR]