In this article, we examine algebras with a locally nilpotent q-skew sigma-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.
机构:
Department of Mathematical Sciences, Kent State University, Kent,OH,44242, United StatesDepartment of Mathematical Sciences, Kent State University, Kent,OH,44242, United States