Ore Extensions of Skew Armendariz Rings |
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Authors: | A R Nasr-Isfahani |
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Institution: | Department of Mathematics , Tarbiat Modares University , Tehran, Iran |
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Abstract: | Let α be an endomorphism and δ an α-derivation of a ring R. We introduce the notion of skew-Armendariz rings which are a generalization of α-skew Armendariz rings and α-rigid rings and extend the classes of non reduced skew-Armendariz rings. Some properties of this generalization are established, and connections of properties of a skew-Armendariz ring R with those of the Ore extension Rx; α, δ] are investigated. As a consequence we extend and unify several known results related to Armendariz rings. |
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Keywords: | Baer ring Quasi-Baer ring Skew-Armendariz ring Skew polynomial ring |
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