Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A converse to a construction of Eisenbud-Shamash   Let $(Q,\mathfrak n,k)$ be a commutative local Noetherian ring, $f_1,\dots,
f_c$ a $Q$-regular sequence in $\mathfrak n$, and $R=Q/(f_1,\dots,f_c)$. Given
a complex of finitely generated free $R$-modules, we give a construction of a
complex of finitely generated free $Q$-modules having the same homology. A key
application is when the original complex is an $R$-free resolution of a
finitely generated $R$-module. In this case our construction is a sort of
converse to a construction of Eisenbud-Shamash yielding a free resolution of an
$R$-module $M$ over $R$ given one over $Q$.

32
The categories of this paper are: atom-ph
0
The categories of this paper are: hep-ph
34
The categories of this paper are: chem-ph
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The categories of this paper are: econ
3
The categories of this paper are: physics
8
The categories of this paper are: hep-ex
12
The categories of this paper are: nucl-th
31
The categories of this paper are: ao-sci
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The categories of this paper are: acc-phys
7
The categories of this paper are: hep-th
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The categories of this paper are: dg-ga
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The categories of this paper are: comp-gas
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The categories of this paper are: plasm-ph
15
The categories of this paper are: nucl-ex
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The categories of this paper are: astro-ph
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The categories of this paper are: cs