FINITE DOMINATION AND NOVIKOV HOMOLOGY OVER STRONGLY Z-GRADED RINGS

摘要

Let L be a unital Z-graded ring, and let C be a bounded chain complex of finitely generated L-modules. We give a homological characterisation of when C is homotopy equivalent to a bounded complex of finitely generated projective L (0)-modules, generalising known results for twisted Laurent polynomial rings. The crucial hypothesis is that L is a strongly graded ring.