Article ID Journal Published Year Pages File Type
4597031 Journal of Pure and Applied Algebra 2012 7 Pages PDF
Abstract

We extend existing results on the Jacobson radical of skew polynomial rings of derivation type when the base ring has no nonzero nil ideals. We then move to the more general situation of algebras with locally nilpotent skew derivations and examine the Jacobson radical of the algebra when the subalgebra of invariants has no nonzero nil ideals.

Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory