Reduction of Hochschild cohomology over algebras finite over their center

Liran Shaul

doi:10.1016/j.jpaa.2015.02.021

Reduction of Hochschild cohomology over algebras finite over their center

Liran Shaul

Research output: Contribution to journal › Article › peer-review

4 Scopus citations

Abstract

We borrow ideas from Grothendieck duality theory to noncommutative algebra, and use them to prove a reduction result for Hochschild cohomology with tensor decomposable coefficients for noncommutative algebras which are finite over their center. This generalizes a result over commutative algebras by Avramov, Iyengar, Lipman and Nayak.

Original language	English
Pages (from-to)	4368-4377
Number of pages	10
Journal	Journal of Pure and Applied Algebra
Volume	219
Issue number	10
DOIs	https://doi.org/10.1016/j.jpaa.2015.02.021
State	Published - 1 Oct 2015
Externally published	Yes

ASJC Scopus subject areas

Algebra and Number Theory

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title = "Reduction of Hochschild cohomology over algebras finite over their center",

abstract = "We borrow ideas from Grothendieck duality theory to noncommutative algebra, and use them to prove a reduction result for Hochschild cohomology with tensor decomposable coefficients for noncommutative algebras which are finite over their center. This generalizes a result over commutative algebras by Avramov, Iyengar, Lipman and Nayak.",

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AB - We borrow ideas from Grothendieck duality theory to noncommutative algebra, and use them to prove a reduction result for Hochschild cohomology with tensor decomposable coefficients for noncommutative algebras which are finite over their center. This generalizes a result over commutative algebras by Avramov, Iyengar, Lipman and Nayak.

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M3 - Article

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JO - Journal of Pure and Applied Algebra

JF - Journal of Pure and Applied Algebra

IS - 10

ER -

Reduction of Hochschild cohomology over algebras finite over their center

Abstract

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