Title
Reduction of Hochschild cohomology over algebras finite over their center Reduction of Hochschild cohomology over algebras finite over their center
Author
Faculty/Department
Faculty of Sciences. Mathematics and Computer Science
Publication type
article
Publication
Amsterdam ,
Subject
Mathematics
Source (journal)
Journal of pure and applied algebra. - Amsterdam
Volume/pages
219(2015) :10 , p. 4368-4377
ISSN
0022-4049
ISI
000356201600004
Carrier
E
Target language
English (eng)
Full text (Publishers DOI)
Affiliation
University of Antwerp
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. (C) 2015 Elsevier B.V. All rights reserved.
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