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Abstract: Recently, G. Floystad studied -higher Cohen-Macaulay property- of certainfinite regular cell complexes. In this paper, we partially extend his resultsto squarefree modules, toric face rings, and simplicial posets. For example, weshow that if the corresponding cell complex of a simplicial poset is$l$-Cohen-Macaulay then its codimension one skeleton is $l+1$-Cohen-Macaulay.



Author: Kohji Yanagawa

Source: https://arxiv.org/







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