Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A-infinity resolutions and the Golod property for monomial rings   Let R=S/I be a monomial ring whose minimal free resolution F is rooted. We
describe an A-infinity algebra structure on F. Using this structure, we show
that R is Golod if and only if the product on Tor^S(R,k) vanishes. Furthermore,
we give a necessary and sufficient combinatorial condition for R to be Golod.

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The categories of this paper are: chem-ph
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The categories of this paper are: quant-ph
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The categories of this paper are: solv-int
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The categories of this paper are: eess
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The categories of this paper are: q-bio
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The categories of this paper are: cs
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The categories of this paper are: cmp-lg
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The categories of this paper are: nlin
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The categories of this paper are: hep-lat
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The categories of this paper are: gr-qc
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The categories of this paper are: math-ph
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The categories of this paper are: cond-mat
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The categories of this paper are: adap-org
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The categories of this paper are: econ
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The categories of this paper are: hep-ph
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The categories of this paper are: nucl-th