… k and H a subgroup of a finite group G. In this paper, we consider the Gorenstein global
dimensions and representation dimensions of the skew group algebras ΛG and ΛH. Under the …

… skew group rings are semiprime, Artinian, and regular, respectively. In addition, representation
and homological properties of skew group algebras … several homological dimensions of …

… As for group algebras, we have the induction functor RG⊗RH − : RH- Mod → RG- Mod and
the restriction functor RG⊗RG − : RG- Mod → RH- Mod. Explicitly, for a RH-module V , the …

… homological dimensions under extra assumptions, extending the main results in (Li,
Representations of modular skew group algebras… get a skew group ring A σ G or a twisted group …

… groups that correspond to (skew) hook diagrams. Using these resolutions the homological
dimensions … and to find the homological dimensions of certain irreducible representations over …

… (For the definitions and equivalent characterizations of Koszul algebras we refer to [24, page
… But neither the Gorenstein quotients Giv nor Gv are Koszul algebras and in the next section …

… ring K[G], there is the well-known Serre’s theorem which consider the finiteness of global
dimension of group ring. In the present paper, we investigate when the group ring K[G] has …

… whose order is invertible in Λ acting on Λ and Λ is G-stable, we prove that if the skew group
… Now we connect skew group algebras with homological conjectures. Before proceeding, we …

… skew toupie algebras, and exhibit a family of laura algebras (… is called a skew toupie algebra
if its quiver Q is a skew toupie … in to exhibit a family of skew toupie algebras which are laura, …

… –Arens–Michael algebras satisfying the Van den Bergh conditions VdB(n). As an application,
we calculate the homological dimensions of smooth and complex-analytic quantum tori. …