Finite Filtrations of Modules and Shellable Multicomplexes
classification
🧮 math.AC
keywords
modulescleandressmulticomplexesprettyshellablecohen-macaulaycomplexes
read the original 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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