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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Herzog, J., Popescu, D. Finite filtrations of modules and shellable multicomplexes. manuscripta math. 121, 385–410 (2006). https://doi.org/10.1007/s00229-006-0044-4
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DOI: https://doi.org/10.1007/s00229-006-0044-4