7 papers
Gorenstein dimensions and Hirsch length of groups
Ioannis Emmanouil, Konstantinos Golfis, Wei Ren
We study the relation between the Gorenstein homological and the Gorenstein cohomological dimension of groups. We prove that for every module of type over any ring …
Gorenstein homological invariants and monoidal model categories of Hopf algebras
Wei Ren, Ruipeng Zhu
Let be a Hopf algebra over a field with a bijective antipode. It is proved that the Gorenstein global dimension of coincides with the Gorenstein projective dimension of…
On some triangulated categories over group algebras
Ioannis Emmanouil, Wei Ren
In this paper, we introduce the cofibrant derived category of a group algebra and study its relation to the derived category of . We also define the cofibrant singularity…
Group class operations and homological conditions
Ioannis Emmanouil, Wei Ren
Kropholler's operation and Talelli's operation can be often used to formally enlarge the class of available examples of groups that satisfy certain ho…
On certain classes of modules over group algebras
Ioannis Emmanouil, Wei Ren
In this paper, we examine the relation between certain subclasses of the classes of Gorenstein projective, Gorenstein flat and Gorenstein injective modules over a group algebra, wh…
On the class of Benson's cofibrant modules
Ioannis Emmanouil, Wei Ren
In this paper, we examine the class of cofibrant modules over a group algebra , that were defined by Benson in [2]. We show that this class is always the left-hand side of a co…