Background
Type: Article

Ore extensions of skew armendariz rings

Journal: Communications in Algebra (15324125)Year: 2008/02/01Volume: Issue: 2
Nasr-Isfahani A.a Moussavi A.
DOI:10.1080/00927870701718849Language: English

Abstract

Let be an endomorphism and an -derivation of a ring R. We introduce the notion of skew-Armendariz rings which are a generalization of -skew Armendariz rings and -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 R[x; , ] are investigated. As a consequence we extend and unify several known results related to Armendariz rings.


Author Keywords

Baer ringQuasi-Baer ringSkew polynomial ringSkew-Armendariz ring