Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Minimally non-Golod face rings and Massey products   We give a correct statement and a complete proof of the criterion obtained by
Grbi\'c, Panov, Theriault and Wu for the face ring $\Bbbk[K]$ of a simplicial
complex $K$ to be Golod over a field $\Bbbk$. (The original argument depended
on the main result of a paper by Berglund and J\"ollenbeck, which was shown to
be false by Katth\"an.) We also construct an example of a minimally non-Golod
complex $K$ such that the cohomology of the corresponding moment-angle complex
$\mathcal Z_K$ has trivial cup product and a non-trivial triple Massey product.

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The categories of this paper are: hep-th
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The categories of this paper are: stat
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The categories of this paper are: solv-int
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The categories of this paper are: comp-gas
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The categories of this paper are: econ
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The categories of this paper are: atom-ph
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The categories of this paper are: q-fin
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The categories of this paper are: q-alg
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The categories of this paper are: alg-geom
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The categories of this paper are: funct-an
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The categories of this paper are: q-bio
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The categories of this paper are: quant-ph
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The categories of this paper are: math-ph
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The categories of this paper are: adap-org
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The categories of this paper are: ao-sci
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The categories of this paper are: hep-ph