Trimming a Gorenstein ideal
JOURNAL OF COMMUTATIVE ALGEBRA(2015)
摘要
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 Poincare duality algebra P padded with a non-zero graded vector space on which P_{\ge 1} acts trivially. We explicitly construct an infinite family of such rings.
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关键词
Gorenstein ring, Koszul homology, Poincare duality algebra
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