3 papers
math.RT2026
Fishing for complements
Lidia Angeleri Hügel, David Pauksztello, Jorge Vitória
Given a presilting object in a triangulated category, we find necessary and sufficient conditions for the existence of a complement. This is done both for classic (pre)silting obje…
math.RT2025
Intrinsic homological algebra for triangulated categories
Panagiotis Kostas, Chrysostomos Psaroudakis, Jorge Vitória
We propose a new framework for the study of homological properties for (compactly generated) triangulated categories such as regularity, finiteness of global or finitistic dimensio…
math.RT2025
Mutation and the Gabriel spectrum
Michal Hrbek, Sergio Pavon, Jorge Vitória
Mutations occur in multiple algebraic contexts, often enjoying good combinatorial properties. In this paper we study mutations of pure-injective cosilting objects in compactly gene…