Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Hochschild Cohomology of Reduced Incidence Algebras   We compute the Hochschild cohomology of the reduced incidence algebras such
as the algebra of formal power series, the algebra of exponential power series,
the algebra of Eulerian power series, and the algebra of formal Dirichlet
series. We achieve the result by carrying out the computation on the coalgebra
${\rm Cotor}$-groups of their pre-dual coalgebras. Using the same coalgebraic
machinery, we further identify the Hochschild cohomology groups of an incidence
algebra associated to a quiver with the ${\rm Ext}$-groups of the incidence
algebra associated to a suspension of the quiver.

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The categories of this paper are: nucl-ex
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The categories of this paper are: bayes-an
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The categories of this paper are: hep-th
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The categories of this paper are: comp-gas
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The categories of this paper are: hep-lat
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The categories of this paper are: acc-phys
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The categories of this paper are: cmp-lg
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The categories of this paper are: q-alg
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The categories of this paper are: patt-sol
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The categories of this paper are: econ
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The categories of this paper are: dg-ga
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The categories of this paper are: supr-con
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The categories of this paper are: physics
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The categories of this paper are: cs
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The categories of this paper are: cond-mat
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The categories of this paper are: funct-an