We give a combinatorial classification of Cohen-Macaulay partially ordered sets P for which a minimal free resolution of the Stanley-Reisner ring k[ (P)] of the order complex (P) of P is pure.
Projective resolutions of Cohen-Macaulay algebras
โ Scribed by David Eisenbud; Oswald Riemenschneider; Frank-Olaf Schreyer
- Publisher
- Springer
- Year
- 1981
- Tongue
- English
- Weight
- 572 KB
- Volume
- 257
- Category
- Article
- ISSN
- 0025-5831
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๐ SIMILAR VOLUMES
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
Let B be a graded CohenแMacaulay quotient of a Gorenstein ring, R. It is known that sections of the dual of the canonical module, K , can be used to B construct Gorenstein quotients of R. The purpose of this paper is to place this method of construction into a broader context. If M is a maximal Cohe