Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Ulrich modules over Cohen-Macaulay local rings with minimal multiplicity   Let R be a Cohen-Macaulay local ring. In this paper we study the structure of
Ulrich $R$-modules mainly in the case where R has minimal multiplicity. We
explore generation of Ulrich R-modules, and clarify when the Ulrich R-modules
are precisely the syzygies of maximal Cohen-Macaulay R-modules. We also
investigate the structure of Ulrich R-modules as an exact category.

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The categories of this paper are: patt-sol
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The categories of this paper are: eess
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The categories of this paper are: dg-ga
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The categories of this paper are: nucl-th
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The categories of this paper are: adap-org
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The categories of this paper are: acc-phys
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The categories of this paper are: chao-dyn
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The categories of this paper are: solv-int
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The categories of this paper are: nucl-ex
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The categories of this paper are: alg-geom
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The categories of this paper are: physics
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The categories of this paper are: hep-th
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The categories of this paper are: math-ph
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The categories of this paper are: ao-sci
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The categories of this paper are: atom-ph
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The categories of this paper are: mtrl-th