Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Massey products and the Golod property for simplicially resolvable rings   We apply algebraic Morse theory to the Taylor resolution of a monomial ring
$R = S/I$ to obtain an $A_{\infty}$-structure on the minimal free resolution of
$R$. Using this structure we describe the vanishing of higher Massey products
in case the minimal free resolution is simplicial. Under this assumption, we
show that R is Golod if and only if the product on $\text{Tor}^S(R, k)$
vanishes. Lastly, we give two combinatorial characterizations of the Golod
property in this case.

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The categories of this paper are: math-ph
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The categories of this paper are: q-alg
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The categories of this paper are: quant-ph
28
The categories of this paper are: alg-geom
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The categories of this paper are: nucl-th
37
The categories of this paper are: supr-con
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The categories of this paper are: hep-th
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The categories of this paper are: hep-lat
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The categories of this paper are: nucl-ex
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The categories of this paper are: cmp-lg
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The categories of this paper are: gr-qc
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The categories of this paper are: dg-ga
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The categories of this paper are: hep-ph
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The categories of this paper are: atom-ph
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The categories of this paper are: comp-gas
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The categories of this paper are: solv-int