Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Nakayama automorphisms of double Ore extensions of Koszul regular
  algebras   Let $A$ be a Koszul Artin-Schelter regular algebra and $\sigma$ an algebra
homomorphism from $A$ to $M_{2\times 2}(A)$. We compute the Nakayama
automorphisms of a trimmed double Ore extension $A_P[y_1, y_2; \sigma]$
(introduced in \cite{ZZ08}). Using a similar method, we also obtain the
Nakayama automorphism of a skew polynomial extension $A[t; \theta]$, where
$\theta$ is a graded algebra automorphism of $A$. These lead to a
characterization of the Calabi-Yau property of $A_P[y_1, y_2; \sigma]$, the
skew Laurent extension $A[t^{\pm 1}; \theta]$ and $A[y_1^{\pm 1}, y_2^{\pm 1};
\sigma]$ with $\sigma$ a diagonal type.

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The categories of this paper are: atom-ph
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The categories of this paper are: bayes-an
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The categories of this paper are: solv-int
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The categories of this paper are: funct-an
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The categories of this paper are: plasm-ph
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The categories of this paper are: chem-ph
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The categories of this paper are: supr-con
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The categories of this paper are: q-fin
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The categories of this paper are: eess
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The categories of this paper are: quant-ph
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The categories of this paper are: stat
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The categories of this paper are: cs
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The categories of this paper are: hep-ex
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The categories of this paper are: acc-phys
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The categories of this paper are: adap-org
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The categories of this paper are: math-ph