STRUCTURE OF ZERO-DIVISORS IN SKEW POWER SERIES RINGS

Title & Authors
STRUCTURE OF ZERO-DIVISORS IN SKEW POWER SERIES RINGS
HONG, CHAN YONG; KIM, NAM KYUN; LEE, YANG;

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.
Keywords
skew power-serieswise Armendariz ring;skew IFP ring;
Language
English
Cited by
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