ON COMMUTATIVITY OF SKEW POLYNOMIALS AT ZERO

We, in this paper, study the commutativity of skew polynomials at zero as a generalization of an a -rigid ring, introducing the concept of strongly skew reversibility. A ring R is be said to be strongly alpha-skew reversible if the skew polynomial ring R[x;alpha] is reversible. We examine some characterizations and extensions of strongly a -skew reversible rings in relation with several ring theoretic properties which have roles in ring theory.