Cohen-Macaulay Section Rings
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- by Zhou Caijun PDF
- Trans. Amer. Math. Soc. 349 (1997), 4659-4667 Request permission
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.References
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Additional Information
- Zhou Caijun
- Affiliation: Department of Mathematics, Shanghai Normal University, Shanghai 200234, China
- Email: shtunet@public.sta.net.cn
- Received by editor(s): May 18, 1996
- © Copyright 1997 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 349 (1997), 4659-4667
- MSC (1991): Primary 13C14, 13H10, 06A07
- DOI: https://doi.org/10.1090/S0002-9947-97-01897-7
- MathSciNet review: 1407695