Bull. Korean Math. Soc. 2017 Vol. 54, No. 1, 51-69 https://doi.org/10.4134/BKMS.b150623 Published online August 25, 2016 Printed January 31, 2017
Hai-Lan Jin, Fatma Kaynarca, Tai Keun Kwak, and Yang Lee Yanbian University, Afyon Kocatepe University, Daejin University, Pusan National University
Abstract : We, in this paper, study the commutativity of skew polynomials at zero as a generalization of an $\alpha$-rigid ring, introducing the concept of strongly skew reversibility. A ring $R$ is be said to be \emph{strongly $\alpha$-skew reversible} if the skew polynomial ring $R[x;\alpha]$ is reversible. We examine some characterizations and extensions of strongly $\alpha$-skew reversible rings in relation with several ring theoretic properties which have roles in ring theory.
