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STRUCTURE OF ZERO-DIVISORS IN SKEW POWER SERIES RINGS

김남균|이양|홍찬용
대한수학회 (The Korean Mathematical Society)|2015.07|대한수학회지 (Journal of the KMS)|제52권 제4호|pp. 663-683

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참고문헌

키워드

skew power-serieswise Armendariz ringskew IFP ring
주제분류수학

초록

In this note we study the structures of power-serieswise Ar- mendariz 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 pro- cess. 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.

Abstract

In this note we study the structures of power-serieswise Ar- mendariz 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 pro- cess. 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.

참고문헌 (28)

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관련 논문AI추천

On nil generalized power serieswise Armendariz ringsLiu Jingwang, Ouyang Lunqun대한수학회 · 대한수학회논문집2013 · 제28권 제3호Generalized semicommutative rings and their extensions곽태근, Abdullah Harmanci, Muhittin Baser대한수학회 · 대한수학회보2008 · 제45권 제2호Quasi-Armendariz property for skew polynomial rings곽태근, Muhittin Ba(특수문자)er대한수학회 · 대한수학회논문집2011 · 제26권 제4호A remark on IFP rings이양, 김시환, 김정수, 김정현, 류성주, 박재형, 송민경, 엄태강, 이민정, 이창혁, 임효진, 정민준, 황수민강원경기수학회 · 한국수학논문집2013 · 제21권 제3호SKEW POLYNOMIAL RINGS OVER SEMIPRIME RINGS이양, 김남균, 홍찬용대한수학회 · 대한수학회지2010 · 제47권 제5호On a ring property generalizing power-Armendariz and central Armendariz rings이양, 김진아, 김홍기, 남상복, 류성주, 서연숙, 성효진, 윤상조, 이창익, 정다운, 차호준강원경기수학회 · 한국수학논문집2015 · 제23권 제3호

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