Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4596351 | Journal of Pure and Applied Algebra | 2015 | 13 Pages |
Abstract
Algebras simple with respect to an action of a Taft algebra Hm2(ζ)Hm2(ζ) deliver an interesting example of H-module algebras that are H -simple but not necessarily semisimple. We describe finite dimensional Hm2(ζ)Hm2(ζ)-simple algebras and prove the analog of Amitsur's conjecture for codimensions of their polynomial Hm2(ζ)Hm2(ζ)-identities. In particular, we show that the Hopf PI-exponent of an Hm2(ζ)Hm2(ζ)-simple algebra A over an algebraically closed field of characteristic 0 equals dimAdimA. The groups of automorphisms preserving the structure of an Hm2(ζ)Hm2(ζ)-module algebra are studied as well.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
A.S. Gordienko,