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 the…
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…
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 hom…
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 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…
On the class of Benson's cofibrant modules
Ioannis Emmanouil, Wei Ren
In this paper, we study the class of cofibrant modules over a group algebra , that were introduced by Benson. We prove that this class is always the left-hand side of a complet…
Cup Products on Hochschild Cohomology of Hopf-Galois Extensions.pdf
Liyu Liu, Wei Ren, Shengqiang Wang
In this paper, we give an explicit chain map, which induces the algebra isomorphism between the Hochschild cohomology and the -invariant subalgebra ${\bf…