Cohen-Macaulay Section Rings

Caijun, Zhou

doi:10.1090/S0002-9947-97-01897-7

Cohen-Macaulay Section Rings
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by Zhou Caijun

Trans. Amer. Math. Soc. 349 (1997), 4659-4667

DOI: https://doi.org/10.1090/S0002-9947-97-01897-7

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Abstract:

In this paper, we study the section rings of sheaves of Cohen-Macaulay algebras (over a field $F$) on a ranked poset. A necessary and sufficient condition for these rings to be Cohen-Macaulay will be given. This is a further generalization of a result of Yuzvinsky, which generalizes Reisner’s theorem concerning Stanley-Reisner rings.

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