Papers
Topics
Authors
Recent
Gemini 2.5 Flash
Gemini 2.5 Flash
173 tokens/sec
GPT-4o
7 tokens/sec
Gemini 2.5 Pro Pro
46 tokens/sec
o3 Pro
4 tokens/sec
GPT-4.1 Pro
38 tokens/sec
DeepSeek R1 via Azure Pro
28 tokens/sec
2000 character limit reached

Algebras simple with respect to a Taft algebra action (1402.5272v2)

Published 21 Feb 2014 in math.RA

Abstract: Algebras simple with respect to an action of a Taft algebra $H_{m2}(\zeta)$ deliver an interesting example of $H$-module algebras that are $H$-simple but not necessarily semisimple. We describe finite dimensional $H_{m2}(\zeta)$-simple algebras and prove the analog of Amitsur's conjecture for codimensions of their polynomial $H_{m2}(\zeta)$-identities. In particular, we show that the Hopf PI-exponent of an $H_{m2}(\zeta)$-simple algebra $A$ over an algebraically closed field of characteristic $0$ equals $\dim A$. The groups of automorphisms preserving the structure of an $H_{m2}(\zeta)$-module algebra are studied as well.

Summary

We haven't generated a summary for this paper yet.