Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Reducing invariants and total reflexivity   Motivated by a recent result of Yoshino, and the work of Bergh on reducible
complexity, we introduce reducing versions of invariants of finitely generated
modules over commutative Noetherian local rings. Our main result considers
modules which have finite reducing Gorenstein dimension, and determines a
criterion for such modules to be totally reflexive in terms of the vanishing of
Ext. Along the way we give examples and applications, and in particular, prove
that a Cohen-Macaulay local ring with canonical module is Gorenstein if and
only if the canonical module has finite reducing Gorenstein dimension.

31
The categories of this paper are: ao-sci
15
The categories of this paper are: nucl-ex
20
The categories of this paper are: acc-phys
34
The categories of this paper are: chem-ph
9
The categories of this paper are: nlin
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The categories of this paper are: atom-ph
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The categories of this paper are: quant-ph
4
The categories of this paper are: cond-mat
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The categories of this paper are: comp-gas
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The categories of this paper are: dg-ga
0
The categories of this paper are: hep-ph
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The categories of this paper are: chao-dyn
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The categories of this paper are: hep-ex
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The categories of this paper are: stat
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The categories of this paper are: patt-sol
21
The categories of this paper are: adap-org