The representation theory of a commutative noetherian ring is tightly controlled by its prime spectrum. In this article we use the prime spectrum to describe mutation of cosilting objects in the derived category of a commutative noetherian ring.

Mutations and derived equivalences for commutative Noetherian rings

JORGE NUNO dos Santos Vitoria
2025

Abstract

The representation theory of a commutative noetherian ring is tightly controlled by its prime spectrum. In this article we use the prime spectrum to describe mutation of cosilting objects in the derived category of a commutative noetherian ring.
2025
Representations of Algebras and Related Topics
20th International Conference on Representations of Algebras, ICRA 2022
9783985470839
9783985475834
   Categories, Algebras: Ring Theoretical and Homological Approaches
   CARTHA
   Ministry for University and Research (MUR)
   PRIN 2017

   Representations of quivers with commutative coefficients
   Dipartimento di Matematica "Tullio Levi-Civita"
   BIRD 2022 (Progetto SID)
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Descrizione: Mutations and derived equivalences for commutative noetherian rings
Tipologia: Preprint (AM - Author's Manuscript - submitted)
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11577/3563343
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