On a Generalized Semicommutative Ring

Abstract

Let R be a ring with identity. In this paper, we introduce some new results in a class of rings which refers to generalization of semicommutative rings called Q-semicommutative rings whenever x2=0 implies xRx=0, for any a ∈R [7]. They study investigates general properties of Q-semicommutative rings and shows several results of semicommutative ring can be extended to Q-semicommutative rings