Results 21 to 30 of about 769,852 (175)
On sequentially Cohen-Macaulay modules
Kodai Mathematical Journal, 2007 In this paper we present characterizations of sequentially Cohen-Macaulay modules in terms of systems of parameters, which are generalizations of well-known results on Cohen-Macaulay and generalized Cohen-Macaulay modules. The sequentially Cohen-Macaulayness of Stanley-Reisner rings of small embedding dimension are also examined.
Cuong, Nguyen Tu, Cuong, Doan Trung
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On the notion of sequentially Cohen–Macaulay modules
Research in the Mathematical Sciences, 2022 AbstractIn this survey paper, we first present the main properties of sequentially Cohen–Macaulay modules. Some basic examples are provided to help the reader with quickly getting acquainted with this topic. We then discuss two generalizations of the notion of sequential Cohen–Macaulayness which are inspired by a theorem of Jürgen Herzog and the third ...
Giulio Caviglia +3 more
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Upper Cohen-Macaulay Dimension [PDF]
, 2004 In this paper, we define a homological invariant for finitely generated modules over a commutative noetherian local ring, which we call upper Cohen-Macaulay dimension.
Tokuji Araya +5 more
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LINKAGE AND DUALITY OF MODULES [PDF]
, 2009 Martsinkovsky and Strooker [13] recently introduced module theoretic linkage using syzygy and transpose. This generalization brings possibility of much application of linkage, especially, to homological theory of modules. In the present paper, we connect
Nishida, Kenji, Kenji Nishida
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THE DIMENSION OF A SUBCATEGORY OF MODULES
Forum of Mathematics, Sigma, 2015 Let $R$ be a commutative noetherian local ring. As an analog of the notion of the dimension of a triangulated category defined by Rouquier, the notion of the dimension of a subcategory of finitely generated $R$-modules is introduced in this paper.
HAILONG DAO, RYO TAKAHASHI
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TILTING THEORY FOR GORENSTEIN RINGS IN DIMENSION ONE
Forum of Mathematics, Sigma, 2020 In representation theory, commutative algebra and algebraic geometry, it is an important problem to understand when the triangulated category $\mathsf{D}_{\operatorname{sg}}^{\mathbb{Z}}(R)=\text{}\underline{\mathsf{CM}}_{0}^{\mathbb{Z}}R$ admits a ...
RAGNAR-OLAF BUCHWEITZ +2 more
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Exceptional Sequences over Graded Cohen-Macaulay Rings [PDF]
, 1999 The concept of exceptional sequences was developed by Gorodentsev and Rudakov in [3] and generalized by Bondal in [1].
Tokuji Araya, Araya, Tokuji
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Non-Cohen-Macaulay Vector Invariants and a Noether Bound for a Gorenstein Ring of Invariants [PDF]
, 1999 This paper contains two essentially independent results in the invariant theory of finite groups. First we prove that, for any faithful representation of a non-trivial p-group over a field of characteristic p, the ring of vector invariants ofmcopies of
Hughes, I.P. +9 more
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On the relative Cohen–Macaulay modules [PDF]
Journal of Algebra and Its Applications, 2014 Let R be a commutative Noetherian local ring and let 𝔞 be a proper ideal of R. In this paper, as a main result, it is shown that if M is a Gorenstein R-module with c = ht M𝔞, then [Formula: see text] for all i ≠ c is completely encoded in homological properties of [Formula: see text], in particular in its Bass numbers.
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Indecomposable generalized Cohen-Macaulay modules [PDF]
Transactions of the American Mathematical Society, 1994 The aim of this paper is to study the indecomposable modules which are Cohen-Macaulay on the punctured spectrum of a local ring, and to describe some of their invariants such as their local cohomology groups and ranks. One of our main concerns is to find indecomposable quasi-Buchsbaum modules of high rank with prescribed cohomology over a regular local
Cipu, Mihai +2 more
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