Moduln über Streckungsringen

Abstract

The aim of this paper is to prove that many homological properties and estimates of the discrete straightening ring still remain valid for the straightening ring itself. E.g. Cohen-Macaulay property, generalised Cohen-Macaulay property and Serre condition (Sn) (the latter for unmixed discrete straightening rings) transfer. The main technical tool is a further development of a spectral sequence argument well known in the case of associated graded rings.