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arXiv · 0704.3761

Gorenstein algebras and Hochschild cohomology

L. L. Avramov·S. Iyengar
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Abstract

For homomorphism K-->S of commutative rings, where K is Gorenstein and S is essentially of finite type and flat as a K-module, the property that all non-trivial fiber rings of K-->S are Gorenstein is characterized in terms of properties of the cohomology modules Ext_n^{S\otimes_KS}S{S\otimes_KS}.

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L. L. Avramov, S. Iyengar. 2009-04-28. Gorenstein algebras and Hochschild cohomology. https://arxiv.org/abs/0704.3761

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