Results 11 to 20 of about 769,852 (175)
Pseudo Cohen–Macaulay and pseudo generalized Cohen–Macaulay modules [PDF]
Journal of Algebra, 2003 The purposes of the paper are to study the structure of pseudo (generalized) Cohen-Macaulay modules and to apply the results to a characterization of sequentially (generalized) Cohen-Macaulay modules. Let \(R\) be a Noetherian local ring and \(M\) a finitely generated \(R\)-module of dimension \(d\).
Cuong, Nguyen Tu, Nhan, Le Thanh
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Perfect linkage of Cohen–Macaulay modules over Cohen–Macaulay rings [PDF]
Journal of Algebra, 2016 In this paper, we introduce and study the notion of linkage by perfect modules, which we call perfect linkage, for Cohen-Macaulay modules over Cohen--Macaulay local rings. We explore perfect linkage in connection with syzygies, maximal Cohen-Macaulay approximations and Yoshino-Isogawa linkage.
Kei-ichiro Iima, Ryo Takahashi
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On canonical Cohen–Macaulay modules [PDF]
Journal of Algebra, 2012 Let \((R,\mathfrak{m})\) denote a local ring that is a factor ring of a local Gorenstein ring. Let \(M\) denote a finitely generated \(R\)-module. Let \(K(M)\) denote the canonical module of \(M\) (see the reviewer in [J. Algebra 275, No. 2, 751--770 (2004; Zbl 1103.13014)]). In the reviewer's paper [loc.
Brodmann, Markus, Nhan, Le Thanh
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On the structure of sequentially Cohen-Macaulay bigraded modules [PDF]
Czechoslovak Mathematical Journal, 2015 Let $K$ be a field and $S=K[x_1,\ldots,x_m, y_1,\ldots,y_n]$ be the standard bigraded polynomial ring over $K$. In this paper, we explicitly describe the structure of finitely generated bigraded "sequentially Cohen--Macaulay" $S$-modules with respect to $Q=(y_1,\ldots,y_n)$.
Majd, Leila Parsaei, Rahimi, Ahad
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Stable degenerations of Cohen–Macaulay modules [PDF]
Journal of Algebra, 2011 As a stable analogue of degenerations, we introduce the notion of stable degenerations for Cohen-Macaulay modules over a Gorenstein local algebra. We shall give several necessary and/or sufficient conditions for the stable degeneration. These conditions will be helpful to see when a Cohen-Macaulay module degenerates to another.
Yoshino, Yuji, Yuji Yoshino
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From connection to conservation: Nature-based mindfulness as a pathway to pro-environmental behaviors. [PDF]
Appl Psychol Health Well BeingAbstract Nature‐based mindfulness interventions (NBMIs) are increasingly recognized for fostering nature connection and promoting pro‐environmental behavior (PEB). However, robust longitudinal evidence of their sustained impact within the general population remains limited.
Zieris P +6 more
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Homological and combinatorial aspects of virtually Cohen–Macaulay sheaves
Transactions of the London Mathematical Society, 2021 When studying a graded module M over the Cox ring of a smooth projective toric variety X, there are two standard types of resolutions commonly used to glean information: free resolutions of M and vector bundle resolutions of its sheafification.
Christine Berkesch +3 more
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Weighted Projective Lines and Rational Surface Singularities [PDF]
Épijournal de Géométrie Algébrique, 2020 In this paper we study rational surface singularities R with star shaped dual graphs, and under very mild assumptions on the self-intersection numbers we give an explicit description of all their special Cohen-Macaulay modules.
Osamu Iyama, Michael Wemyss
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The classification of special Cohen–Macaulay modules [PDF]
Mathematische Zeitschrift, 2009 36 pages, minor revision, to appear in Math ...
Iyama, Osamu, Wemyss, Michael
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