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

Access to Document

10.1016/j.jpaa.2015.02.021

Cite this

@article{86c3595a45ff40efa678c6a0a38ed015,

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.",

author = "Liran Shaul",

note = "Publisher Copyright: {\textcopyright} 2015 Elsevier B.V.",

year = "2015",

month = oct,

day = "1",

doi = "10.1016/j.jpaa.2015.02.021",

language = "English",

volume = "219",

pages = "4368--4377",

journal = "Journal of Pure and Applied Algebra",

issn = "0022-4049",

publisher = "Elsevier B.V.",

number = "10",

}

TY - JOUR

T1 - Reduction of Hochschild cohomology over algebras finite over their center

AU - Shaul, Liran

PY - 2015/10/1

Y1 - 2015/10/1

N2 - 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.

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.

UR - http://www.scopus.com/inward/record.url?scp=84929517592&partnerID=8YFLogxK

U2 - 10.1016/j.jpaa.2015.02.021

DO - 10.1016/j.jpaa.2015.02.021

M3 - Article

AN - SCOPUS:84929517592

SN - 0022-4049

VL - 219

SP - 4368

EP - 4377

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

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this