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Winther Christensen, Lars; Veliche, Oana; Weyman, Jerzy

Trimming a Gorenstein ideal. (English) Zbl 1441.13059

J. Commut. Algebra 11, No. 3, 325-339 (2019).
Summary: Let \(Q\) be a regular local ring of dimension \(3\). We show how to trim a Gorenstein ideal in \(Q\) to obtain an ideal that defines a quotient ring that is close to Gorenstein in the sense that its Koszul homology algebra is a Poincaré duality algebra \(P\) padded with a nonzero graded vector space on which \(P_{\ge 1}\) acts trivially. We explicitly construct an infinite family of such rings.

Cited in 2 Reviews
Cited in 8 Documents

MSC:

13H10 Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.)

Keywords:

Gorenstein ring; Koszul homology; Poincaré duality; algebra
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Full Text: DOI arXiv Euclid

References:

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