Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Actions of Ore extensions and growth of polynomial $H$-identities   We show that if $A$ is a finite dimensional associative $H$-module algebra
for an arbitrary Hopf algebra $H$, then the proof of the analog of Amitsur's
conjecture for $H$-codimensions of $A$ can be reduced to the case when $A$ is
$H$-simple. (Here we do not require that the Jacobson radical of $A$ is an
$H$-submodule.) As an application, we prove that if $A$ is a finite dimensional
associative $H$-module algebra where $H$ is a Hopf algebra $H$ over a field of
characteristic $0$ such that $H$ is constructed by an iterated Ore extension of
a finite dimensional semisimple Hopf algebra by skew-primitive elements (e.g.
$H$ is a Taft algebra), then there exists integer
$\mathop{\mathrm{PIexp}}^H(A)$. In order to prove this, we study the structure
of algebras simple with respect to an action of an Ore extension.

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The categories of this paper are: nlin
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The categories of this paper are: hep-ex
31
The categories of this paper are: ao-sci
29
The categories of this paper are: funct-an
26
The categories of this paper are: bayes-an
37
The categories of this paper are: supr-con
20
The categories of this paper are: acc-phys
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The categories of this paper are: hep-th
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The categories of this paper are: eess
36
The categories of this paper are: cmp-lg
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The categories of this paper are: nucl-ex
18
The categories of this paper are: econ
35
The categories of this paper are: mtrl-th
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The categories of this paper are: dg-ga
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The categories of this paper are: q-bio
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The categories of this paper are: adap-org