Graded equivalence theory with applications
The first goal of this paper is to show that if two \(G\)-graded rings \(R\) and \(S\) have the property that their categories of graded modules are equivalent via a functor commuting with suspensions, then for any subgroup \(H\) of \(G\) there exist equivalences between the categories of modules graded by the \(G\)-set of right \(H\)-cosets over \(R\) and \(S\), respectively. This result is then used to pass results holding for rings graded by subgroups \(H\) to rings graded by the group \(G\).
equivalences between categories of modules
scientific article; zbMATH DE number 763200
scientific article