On Skew Power-serieswise nil-Armendariz Rings

For a ring endomorphism α, in this paper we introduce the notion of s-power- serieswise nil-Armendariz rings, which are a generalization of α-power-serieswise Armendariz rings. A number of properties of this generalization are established, and the extensions of α- power-serieswise nil-Armendariz rin...

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Veröffentlicht in:数学季刊:英文版 2013 (3), p.383-389
1. Verfasser: ZHANG Wan-ru PU Zhao-nian
Format: Artikel
Sprache:eng
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Zusammenfassung:For a ring endomorphism α, in this paper we introduce the notion of s-power- serieswise nil-Armendariz rings, which are a generalization of α-power-serieswise Armendariz rings. A number of properties of this generalization are established, and the extensions of α- power-serieswise nil-Armendariz rings are investigated. Which generalizes the corresponding results of nil-Armendariz rings and power-serieswise nil-Armendariz rings.
ISSN:1002-0462