9 papers
The proper stable module category of a group algebra
Georgios Dalezios, Juan Omar Gómez
We introduce the proper stable module category for an arbitrary discrete group over any commutative ring by means of cotorsion pairs and abelian model structures. This category is…
Triangular decompositions: Reedy algebras and quasi-hereditary algebras
Teresa Conde, Georgios Dalezios, Steffen Koenig
Finite-dimensional Reedy algebras form a ring-theoretic analogue of Reedy categories and were recently proved to be quasi-hereditary. We identify Reedy algebras with quasi-heredita…
Linear Reedy categories, quasi-hereditary algebras and model structures
Georgios Dalezios, Jan Stovicek
We study linear versions of Reedy categories in relation with finite dimensional algebras and abelian model structures. We prove that, for a linear Reedy category ove…
Homological dimension based on a class of Gorenstein flat modules
Georgios Dalezios, Ioannis Emmanouil
In this paper, we study the relative homological dimension based on the class of projectively coresolved Gorenstein flat modules (PGF-modules), that were introduced by Saroch and S…
Lifting recollements of abelian categories and model structures
Georgios Dalezios, Chrysostomos Psaroudakis
We use Quillen model structures to show a systematic method to lift recollements of hereditary abelian model categories to recollements of their associated homotopy categories. To…
On singular equivalences of Morita type with level and Gorenstein algebras
Georgios Dalezios
Rickard proved that for certain self-injective algebras, a stable equivalence induced from an exact functor is a stable equivalence of Morita type, in the sense of Broué. In this p…
Abelian model structures on categories of quiver representations
Georgios Dalezios
Let be an abelian model category (in the sense of Hovey). For a large class of quivers, we describe associated abelian model structures on categories of quiver repres…
A note on homotopy categories of FP-Injectives
Georgios Dalezios
For a locally finitely presented Grothendieck category , we consider a certain subcategory of the homotopy category of FP-injective objects in which we s…
Quillen equivalences for stable categories
Georgios Dalezios, Sergio Estrada, Henrik Holm
For an abelian category we investigate when the stable categories and $\underline{\mathrm{GIn}}\mathrm{j}(\mathcal{…