Classification of certain cellular classes of chain complexes

2008/01/25 by Jonas Kiessling, Kiessling, Jonas · 1 citation
Mathematics · #Algebraic structures and combinatorial models #Homotopy and Cohomology in Algebraic Topology #Rings, Modules, and Algebras #math.AC #math.AT #msc:13D99 #msc:57N60

paper · pdf · doi:10.48550/arxiv.0801.3904

6 pages

arxiv created 2008/01/25 · arxiv updated 2009/12/01

Abstract

Let (R, m) be a local commutative ring. Suppose that m is principal and that m² = 0. We give a complete description of the cellular lattice of perfect chain complexes of modules over this ring.

Cited by

• The cellular structure of the classifying spaces of finite groups

Related

• Properties of cellular classes of chain complexes
• Pure-minimal chain complexes
• Acyclicity over local rings with radical cube zero
• Second symmetric powers of chain complexes
• Shellability and Regularity of Chain Complexes over a Principal Ring