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http://dx.doi.org/10.4134/BKMS.b150623

ON COMMUTATIVITY OF SKEW POLYNOMIALS AT ZERO  

Jin, Hai-Lan (Department of Mathematics Yanbian University)
Kaynarca, Fatma (Department of Mathematics Afyon Kocatepe University)
Kwak, Tai Keun (Department of Mathematics Daejin University)
Lee, Yang (Department of Mathematics Pusan National University)
Publication Information
Bulletin of the Korean Mathematical Society / v.54, no.1, 2017 , pp. 51-69 More about this Journal
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 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.
Keywords
strongly ${\alpha}-skew$ reversible ring; reversible ring; ${\alpha}-rigid$ ring; skew polynomial ring; Dorroh extension;
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Times Cited By KSCI : 1  (Citation Analysis)
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