Finite Filtrations of Modules and Shellable Multicomplexes
Commutative Algebra
2007-05-23 v1
Abstract
We introduce pretty clean modules, extending the notion of clean modules by Dress, and show that pretty clean modules are sequentially Cohen-Macaulay. We also extend a theorem of Dress on shellable simplicial complexes to multicomplexes.
Cite
@article{arxiv.math/0502282,
title = {Finite Filtrations of Modules and Shellable Multicomplexes},
author = {Juergen Herzog and Dorin Popescu},
journal= {arXiv preprint arXiv:math/0502282},
year = {2007}
}