Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
6414475 | Journal of Algebra | 2015 | 19 Pages |
Abstract
We examine actions of the n2-dimensional Taft algebra H on associative algebras R. We first determine when various H-stable subrings of R contain nonzero invariants. Then we look at sufficient and necessary conditions for smash product R#H to be either semiprime or prime. This enables us to prove that if H acts on a field K such that the skew derivation is nonzero, then K#H must be a direct sum of n copies of the nÃn matrices over the invariant subfield KH.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Jeffrey Bergen,