Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Finitistic dimension and Endomorphism algebras of Gorenstein projective
  modules   Let $A$ be an Artin algebra, $M$ be a Gorenstein projective $A$-module and $B
=$ End$_A M$, then $M$ is a $A$-$B$-bimodule. We use the restricted flat
dimension of $M_B$ to give a characterization of the homological dimensions of
$A$ and $B$, and obtain the following main results: (1) if $A$ is a CM-finite
algebra with $\cal GP$($A$) = add$_AE$ and fin.dim $A \geq 2,$ then ${\rm
fin.dim}\ B \leq {\rm fin.dim}\ A + {\rm rfd}(M_B) +{\rm pd}_B{\rm Hom}_A(M,
E);$ (2) If $A$ is a CM-finite $n$-Gorenstein algebra with $\cal GP$($A$) =
add$_AE$ and $n \geq 2$, then gl.dim $B \leq n + {\rm pd}_B{\rm Hom}_A(M, E).$

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The categories of this paper are: eess
33
The categories of this paper are: plasm-ph
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The categories of this paper are: alg-geom
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The categories of this paper are: q-alg
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The categories of this paper are: supr-con
10
The categories of this paper are: q-bio
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The categories of this paper are: chao-dyn
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The categories of this paper are: chem-ph
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The categories of this paper are: funct-an
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The categories of this paper are: stat
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The categories of this paper are: bayes-an
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The categories of this paper are: nlin
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The categories of this paper are: solv-int
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The categories of this paper are: cmp-lg
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The categories of this paper are: hep-ex
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The categories of this paper are: adap-org