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• W2141085237 abstract "We show that if $A$ is a finite dimensional associative $H$-module algebra for an arbitrary Hopf algebra $H$, the proof of the analog of Amitsur's conjecture for $H$-codimensions of $A$ can be, roughly speaking, reduced to the case when $A$ is $H$-simple. In particular, we prove that, despite the fact that the Jacobson radical of an $H_{m^2}(zeta)$-module algebra, where $H_{m^2}(zeta)$ is a Taft algebra, is not necessarily an $H_{m^2}(zeta)$-submodule, codimensions of polynomial $H_{m^2}(zeta)$-identities of every finite dimensional associative $H_{m^2}(zeta)$-module algebra over a field of characteristic $0$ satisfy the analog of Amitsur's conjecture." @default.
• W2141085237 created "2016-06-24" @default.
• W2141085237 creator A5031619685 @default.
• W2141085237 date "2015-05-12" @default.
• W2141085237 modified "2023-09-27" @default.
• W2141085237 title "On codimension growth of $H$-identities in algebras with a not necessarily $H$-invariant radical" @default.
• W2141085237 hasPublicationYear "2015" @default.
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