Lifting group representations to maximal Cohen-Macaulay representations (Q1355499)

This work generalizes some of \textit{M. Auslander}'s and \textit{S. O. Smalø}'s work [J. Algebra 66, No. 1, 61-122 (1980; Zbl 0477.16013)] on existence of Cohen-Macaulay approximations. In the first section the authors show that the existence of a Matlis dualizing module for a ring \(R\) implies the same existence for the group ring \(RG\) if \(G\) is a finite group. The Gorenstein case is studied in section 2. In the last section the results are applied to give a generalization of the Teichmüller invariants.