Classification of certain cellular classes of chain complexes

Abstract

Let (R, m) be a local commutative ring. Suppose that m is principal and that m^2 = 0. We give a complete description of the cellular lattice of perfect chain complexes of modules over this ring.

6 pages

Cited by in corpus (2)

• Properties of cellular classes of chain complexes
• The cellular structure of the classifying spaces of finite groups