Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Totally reflexive extensions and modules   We introduce the notion of totally reflexive extension of rings. It unifies
Gorenstein orders and Frobenius extensions. We prove that for a totally
reflexive extension, a module over the extension ring is totally reflexive if
and only if its underlying module over the base ring is totally reflexive.

11
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: nucl-th
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The categories of this paper are: chao-dyn
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The categories of this paper are: adap-org
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The categories of this paper are: stat
34
The categories of this paper are: chem-ph
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The categories of this paper are: bayes-an
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The categories of this paper are: atom-ph
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The categories of this paper are: hep-ex
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The categories of this paper are: cond-mat
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The categories of this paper are: q-bio
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The categories of this paper are: gr-qc
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The categories of this paper are: mtrl-th
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The categories of this paper are: patt-sol
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The categories of this paper are: eess