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Finite Filtrations of Modules and Shellable Multicomplexes

Juergen Herzog·Dorin Popescu
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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.

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Juergen Herzog, Dorin Popescu. 2005-02-14. Finite Filtrations of Modules and Shellable Multicomplexes. https://arxiv.org/abs/math/0502282

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