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• W2004354677 abstract "The concept of the quasi-Armendariz property of rings properly contains Armendariz rings and semiprime rings. In this paper, we extend the quasi-Armendariz property for a polynomial ring to the skew polynomial ring, hence we call such ring a <TEX>${sigma}$</TEX>-quasi-Armendariz ring for a ring endomorphism <TEX>${sigma}$</TEX>, and investigate its structures, several extensions and related properties. In particular, we study the semiprimeness and the quasi-Armendariz property between a ring R and the skew polynomial ring R[x;<TEX>${sigma}$</TEX>$] of R, and so these provide us with an opportunity to study quasi-Armendariz rings and semiprime rings in a general setting, and several known results follow as consequences of our results." @default.
• W2004354677 created "2016-06-24" @default.
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• W2004354677 date "2011-10-31" @default.
• W2004354677 modified "2023-10-01" @default.
• W2004354677 title "QUASI-ARMENDARIZ PROPERTY FOR SKEW POLYNOMIAL RINGS" @default.
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• W2004354677 doi "https://doi.org/10.4134/ckms.2011.26.4.557" @default.
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