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Cohen-Macaulay Types of Cohen-Macaulay Complexes

✍ Scribed by T. Hibi

Publisher
Elsevier Science
Year
1994
Tongue
English
Weight
750 KB
Volume
168
Category
Article
ISSN
0021-8693

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✦ Synopsis

We say that a Cohen-Macaulay poset (partially ordered set) is "superior" if every open interxal ((x, y)) of (P^{*}) with (\mu_{p}(x, y) \neq 0) is doubly Cohen-Macaulay. For example, if (L=P^{\wedge}) is a modular lattice, then the Cohen-Macaulay poset (P) is superior. We present a formula for the computation of the Cohen-Macaulay type of the Stanley-Reisner ring of the order complex of a Cohen-Macaulay poset which is superior. 1994 Academic Press, Inc

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