Reduction of Hochschild cohomology over algebras finite over their center

• Liran Shaul ^[1]
  1. [1] University of Antwerp

     University of Antwerp

     Arrondissement Antwerpen, Bélgica

     
• Localización: Journal of pure and applied algebra, ISSN 0022-4049, Vol. 219, Nº 10 (October 2015), 2015, págs. 4368-4377
• Idioma: inglés
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• Resumen

  • 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.