Properties of cellular classes of chain complexes

Abstract

In this paper we prove certain properties of cellular and acyclic classes of chain complexes of modules over a commutative Noetherian ring. In particular we show that if X is finite and belongs to some cellular class C then Σ^n H_X also belongs to C, for every n.

16 pages, references added, corrected typos

References in corpus (2)

• Thick subcategories of modules over commutative rings
• Classification of certain cellular classes of chain complexes