Structure of zero-divisors in skew power series rings

Chan Yong Hong; Nam Kyun Kim; Yang Lee

doi:10.4134/JKMS.2015.52.4.663

Journal of the
Korean Mathematical Society JKMS

ISSN(Print) 0304-9914 ISSN(Online) 2234-3008

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J. Korean Math. Soc. 2015; 52(4): 663-683

Printed July 1, 2015

https://doi.org/10.4134/JKMS.2015.52.4.663

Structure of zero-divisors in skew power series rings

Chan Yong Hong, Nam Kyun Kim, and Yang Lee

Kyung Hee University, Hanbat National University, Pusan National University

Abstract

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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 endomorphisms (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

MSC numbers: 16S36, 16W20, 16U80