Gorenstein algebras and Hochschild cohomology

Details Gorenstein algebras and Hochschild cohomology Gorenstein algebras and Hochschild cohomology

2007-04-27

arxiv.org/abs/0704.3761v3

Mich. Math. J. 57 (2008), 17--35

Mathematics

Commutative Algebra

This is the published version, except for updates to references and bibliography. Sections 3, 4 and 8 have been removed from t

Scientific paper

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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