3 citations · 4 across the 6 of their papers we have counts for
6 papers · 1 filter
Finitistic dimension via modules over the singularity category
Panagiotis Kostas
We combine results of Rickard and Shaul with methods of intrinsic homological algebra and the theory of purity to prove that the finiteness of the big finitistic dimension of an Ar…
Homological Aspects of Separable Extensions of Triangulated Categories
Miltiadis Karakikes, Panagiotis Kostas
We investigate the homological behaviour of compactly generated triangulated categories under separable extensions. We show that homological invariants (finiteness of global dimens…
Global dimension of dg algebras via compact silting objects
Panagiotis Kostas
We introduce a notion of global dimension for a triangulated category relative to a compact silting object. We prove that the finiteness of this dimension is an intrinsic property…
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…
Cleft extensions of rings and singularity categories
Panagiotis Kostas
This paper provides a systematic treatment of Gorenstein homological aspects for cleft extensions of rings. In particular, we investigate Goresnteinness, Gorenstein projective modu…
Injective generation for graded rings
Panagiotis Kostas, Chrysostomos Psaroudakis
In this paper we investigate injective generation for graded rings. We first examine the relation between injective generation and graded injective generation for graded rings. We…