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Communications in Algebra Volume 50, 2022 - Issue 5
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Articles

Gorenstein rings generated by strongly stable sets of quadratic monomials

Ralf Fröberga Department of Mathematics, Stockholm University, Stockholm, Sweden
&
Lisa Nicklassona Department of Mathematics, Stockholm University, Stockholm, Sweden;b Dipartimento di Matematica, Università degli Studi di Genova, Genova, ItalyCorrespondence[email protected]
Pages 2072-2082 | Received 23 Apr 2021, Accepted 20 Sep 2021, Published online: 22 Jan 2022
 
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Abstract

We characterize all Gorenstein rings generated by strongly stable sets of monomials of degree two. We compute their Hilbert series in several cases, which also provides an answer to a question by Migliore and Nagel.

2020 MATHEMATICS SUBJECT CLASSIFICATION:

Acknowledgment

We would like to thank the anonymous referee for careful reading.

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