Bulletin of the Korean Mathematical Society (대한수학회보)

Korean Mathematical Society (대한수학회)
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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)
  • Received : 2015.08.04
  • Published : 2017.01.31
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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.

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References

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