Journal of the Korean Mathematical Society (대한수학회지)

Korean Mathematical Society (대한수학회)
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STRUCTURE OF ZERO-DIVISORS IN SKEW POWER SERIES RINGS

  • HONG, CHAN YONG (Department of Mathematics and Research Institute for Basic Sciences Kyung Hee University) ;
  • KIM, NAM KYUN (School of Basic Sciences Hanbat National University) ;
  • LEE, YANG (Department of Mathematics Pusan National University)
  • Received : 2013.08.13
  • Published : 2015.06.01
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Abstract

In this note we study the structures of power-serieswise Armendariz rings and IFP rings when they are skewed by ring endomor-phisms (or automorphisms). We call such rings skew power-serieswise Armendariz rings and skew IFP rings, respectively. We also investigate relationships among them and construct necessary examples in the process. The results argued in this note can be extended to the ordinary ring theoretic properties of power-serieswise Armendariz rings, IFP rings, and near-related rings.

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References

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