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Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(online) ISSN 0002-9947(print)

 

Cohen-Macaulay Section Rings


Author: Zhou Caijun
Journal: Trans. Amer. Math. Soc. 349 (1997), 4659-4667
MSC (1991): Primary 13C14, 13H10, 06A07
MathSciNet review: 1407695
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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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Additional Information

Zhou Caijun
Affiliation: Department of Mathematics, Shanghai Normal University, Shanghai 200234, China
Email: shtunet@public.sta.net.cn

DOI: http://dx.doi.org/10.1090/S0002-9947-97-01897-7
PII: S 0002-9947(97)01897-7
Received by editor(s): May 18, 1996
Article copyright: © Copyright 1997 American Mathematical Society