Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: An Auslander-type result for Gorenstein-projective modules   An artin algebra $A$ is said to be CM-finite if there are only finitely many,
up to isomorphisms, indecomposable finitely generated Gorenstein-projective
$A$-modules. We prove that for a Gorenstein artin algebra, it is CM-finite if
and only if every its Gorenstein-projective module is a direct sum of finitely
generated Gorenstein-projective modules. This is an analogue of Auslander's
theorem on algebras of finite representation type (\cite{A,A1}).

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The categories of this paper are: adap-org
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The categories of this paper are: nucl-ex
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The categories of this paper are: patt-sol
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The categories of this paper are: q-fin
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The categories of this paper are: hep-th
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The categories of this paper are: quant-ph
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The categories of this paper are: q-bio
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The categories of this paper are: physics
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The categories of this paper are: chem-ph
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The categories of this paper are: alg-geom
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The categories of this paper are: mtrl-th
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The categories of this paper are: gr-qc
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The categories of this paper are: bayes-an
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The categories of this paper are: cmp-lg
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The categories of this paper are: acc-phys
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The categories of this paper are: math-ph