Local duality for connected Z-algebras

Abstract

We develop basic homological machinery for Z-algebras in order to prove a version of local duality for Ext-finite connected Z-algebras. As an application, we compare two notions of regularity for such algebras.

The statements of Theorem 6.11 and Theorem 7.8 in the published paper are not correct: each have a missing hypothesis which is needed for their proof. In an attached corrigendum, we restate both theorems (with the required extra hypothesis), and give corrected proofs of each