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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.
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참고문헌 (28)
참고문헌 신청
A. Moussavi / 1993 / On the semiprimitivity of skew polynomial rings / Proc. Edinburgh Math. Soc 36 (2) : 169 ~ 178
C. Huh / 2002 / Armendariz rings and semicommutative rings / Comm. Algebra 30 (2) : 751 ~ 761
C. Y. Hong / 2003 / On skew Armendariz rings / Comm. Algebra 31 (1) : 103 ~ 122
C. Y. Hong / 2006 / Extensions of generalized Armendariz rings / Algebra Colloq 13 (2) : 253 ~ 266
C. Y. Hong / 2011 / Radicals of skew polynomial rings and skew Laurent polynomial rings / J. Algebra 331 : 428 ~ 448
C. Huh / 2002 / Armendariz rings and semicommutative rings / Comm. Algebra 30 (2) : 751 ~ 761
C. Y. Hong / 2003 / On skew Armendariz rings / Comm. Algebra 31 (1) : 103 ~ 122
C. Y. Hong / 2006 / Extensions of generalized Armendariz rings / Algebra Colloq 13 (2) : 253 ~ 266
C. Y. Hong / 2011 / Radicals of skew polynomial rings and skew Laurent polynomial rings / J. Algebra 331 : 428 ~ 448
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