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Projective resolutions of Cohen-Macaulay algebras

โœ 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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๐Ÿ“œ SIMILAR VOLUMES


Cohenโ€“Macaulay Partially Ordered Sets wi
โœ Winfried Bruns; Takayuki Hibi ๐Ÿ“‚ Article ๐Ÿ“… 1998 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 155 KB

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.

Cohen-Macaulay Types of Cohen-Macaulay C
โœ T. Hibi ๐Ÿ“‚ Article ๐Ÿ“… 1994 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 750 KB

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

Maximal Cohenโ€“Macaulay Modules and Goren
โœ Jan O Kleppe; Chris Peterson ๐Ÿ“‚ Article ๐Ÿ“… 2001 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 174 KB

Let B be a graded CohenแސMacaulay 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