On Rings with Locally Nilpotent Skew Derivations

Abstract

Abstract In this article, we examine algebras with a locally nilpotent q-skew σ-derivation d when there is an element x such that d(x) = 1 and either q is not a root of 1 or q = 1 in characteristic zero. When characteristic p > 0, we also examine the situation where d is an ordinary derivation. Key Words: Locally nilpotentSkew derivations2000 Mathematics Subject Classification: 16A0516W60 ACKNOWLEDGMENT The second author's research was supported in part by Grant MNiSW nr N N201 268435. Much of the research was done while he was a visitor at DePaul University, and he thanks them for their hospitality. Notes Communicated by M. Bresar.