I n [ 6 ] , [7] haben wir Prinzipien fur die ubertragung (Spezialisierung) von COREN-MACAULAY-Punkten auf lokal geringten Raumen entwickelt. Dazu be-
Über Cohen-Macaulay punkte
✍ Scribed by Manfred Herrmann; Wolfgang Vogel
- Publisher
- Elsevier Science
- Year
- 1973
- Tongue
- English
- Weight
- 480 KB
- Volume
- 24
- Category
- Article
- ISSN
- 0021-8693
No coin nor oath required. For personal study only.
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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
In this paper we study the structure of two classes of modules called pseudo Cohen-Macaulay and pseudo generalized Cohen-Macaulay modules. We also give a characterization for these modules in term of the Cohen-Macaulayness and generalized Cohen-Macaulayness. Then we apply this result to prove a coho