English

Classification of certain cellular classes of chain complexes

Algebraic Topology 2008-01-28 v1 Commutative Algebra

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.

Keywords

Cite

@article{arxiv.0801.3904,
  title  = {Classification of certain cellular classes of chain complexes},
  author = {Jonas Kiessling},
  journal= {arXiv preprint arXiv:0801.3904},
  year   = {2008}
}

Comments

6 pages

R2 v1 2026-06-21T10:06:25.826Z