BooksecrCollected Volumepp. 235–278

A class of Gorenstein algebras and their dualities

  • Srikanth B. Iyengar

    University of Utah, Salt Lake City, USA

  • Wassilij Gnedin

    Paderborn University, Germany

  • Henning Krause

    Universität Bielefeld, Germany
A class of Gorenstein algebras and their dualities cover
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Abstract

In the recent paper “The Nakayama functor and its completion for Gorenstein algebras”, a class of Gorenstein algebras over commutative noetherian rings was introduced, and duality theorems for various categories of representations were established. The manuscript on hand provides more context to the results presented in the aforementioned work, identifies new classes of Gorenstein algebras, and explores their behaviour under standard operations like taking tensor products and tilting.