Co-Gorenstein algebras
Sondre Kvamme, Rene Marczinzik
TL;DR
This paper reviews the theory of Co-Gorenstein algebras, exploring their properties and connections to major conjectures in algebra, providing insights into their homological aspects.
Contribution
It synthesizes existing theory of Co-Gorenstein algebras and establishes links with the Nakayama and Generalized Nakayama conjectures.
Findings
Established connections between Co-Gorenstein algebras and major conjectures
Reviewed homological properties of Co-Gorenstein algebras
Provided a comprehensive overview of the theory
Abstract
We review the theory of Co-Gorenstein algebras, which was introduced by Beligiannis in the article "The Homological Theory of Contravariantly Finite Subcategories: Gorenstein Categories, Auslander-Buchweitz Contexts and (Co-)Stabilization". We show a connection between Co-Gorenstein algebras and the Nakayama and Generalized Nakayama conjecture.
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