Finite Filtrations of Modules and Shellable Multicomplexes

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.

References in corpus (2)

• Sequentially Cohen-Macaulay modules and local cohomology
• Extended degree functions and monomial modules