A class of Gorenstein algebras and their dualities
Representation Theory
2023-03-10 v1 Commutative Algebra
Rings and Algebras
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.
Keywords
Cite
@article{arxiv.2303.04893,
title = {A class of Gorenstein algebras and their dualities},
author = {Wassilij Gnedin and Srikanth B. Iyengar and Henning Krause},
journal= {arXiv preprint arXiv:2303.04893},
year = {2023}
}
Comments
34 pages. To appear in the Proceedings of ICRA 2020