Results 91 to 100 of about 769,852 (175)
Hilbert functions of Cohen -Macaulay modules
, 2002 Let (A, [special characters omitted]) be a d-dimensional Noetherian local ring, M a finite Cohen-Macaulay A-module of dimension r and let I be an ideal of definition for M.
Puthenpurakal, Tony Joseph
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Cohen-Macaulay modules over two-dimensional graph orders [PDF]
, 1999 For a split graph order ℒ over a complete local regular domain $\cal O$ of dimension 2 the indecomposable Cohen-Macaulay modules decompose - up to irreducible projectives - into a union of the indecomposable Cohen-Macaulay modules over graph orders of ...
Roggenkamp, Klaus
core
Higher Cohen-Macaulay property of squarefree modules and simplicial posets
, 2011 Recently, G. Fløystad studied higher Cohen-Macaulay property of certain finite regular cell complexes. In this paper, we partially extend his results to squarefree modules, toric face rings, and simplicial posets.
Kohji Yanagawa
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Some Characterizations of Relative Sequentially Cohen-Macaulay and Relative Cohen-Macaulay Modules
, 2022 Let $M$ be an $R$-module over a Noetherian ring $R$ and $\mathfrak{a}$ be an ideal of $R$ with $c={\rm cd}(\mathfrak{a},M)$. First, we prove that $M$ is finite $\mathfrak{a}$-relative Cohen-Macaulay if and only if ${\rm H}_i(\Lambda_{\mathfrak{a}}({\rm H}
Zargar, Majid Rahro
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On Cohen-Macaulay modules over surface singularities
, 2002 26 pages, 1 ...
Drozd, Y., Greuel, G., Kashuba, I.
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Categorical Torelli theorems: results and open problems. [PDF]
Rend Circ Mat Palermo, 2023 Pertusi L, Stellari P.
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Cohen-Macaulay multigraded modules
, 2007 Let S be a standard N^r-graded algebra over a local ring A, and let M be a finitely generated Z^r-graded S-module. We characterize the Cohen-Macaulayness of M in terms of the vanishing of certain sheaf cohomology modules. As a consequence, we apply our result to study the Cohen-Macaulayness of multi-Rees modules (also called Rees modification).
Chan, C.-Y. Jean +2 more
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Lim Cohen-Macaulay sequences of modules
We introduce the notion of a lim Cohen-Macaulay sequence of modules. We prove the existence of such sequences in positive characteristic, and show that their existence in mixed characteristic implies the long open conjecture about positivity of Serre ...
Ma, Linquan +2 more
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Cohen-Macaulay Loci of modules
, 2010 The Cohen-Macaulay locus of any finite module over a noetherian local ring $A$ is studied and it is shown that it is a Zariski-open subset of $\Spec A$ in certain cases. In this connection, the rings whose formal fibres over certain prime ideals are Cohen-Macaulay are studied.
Dibaei, Mohammad T., Jafari, Raheleh
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