Search Results - "LE TRUONG, HOANG"
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Index of reducibility of parameter ideals and Cohen–Macaulay rings
Published in Journal of algebra (01-10-2014)“…The main result of this paper gives a characterization of a Cohen–Macaulay ring in terms of its the index of reducibility of parameter ideals…”
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Classification and geometric properties of surfaces with property N3,3
Published in Journal of pure and applied algebra (01-07-2023)“…Let X be a closed subscheme of codimension e in a projective space. One says that X satisfies property Nd,p, if the i-th syzygies of the homogeneous coordinate…”
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3
Stable Ulrich bundles on cubic fourfolds
Published in Manuscripta mathematica (01-05-2024)“…In this paper, we examine the presence of Ulrich bundles on cubic fourfolds. We establish necessary and sufficient conditions for the existence of Ulrich…”
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Chern coefficients and Cohen–Macaulay rings
Published in Journal of algebra (15-11-2017)“…In this study, we investigate the relationship between the index of reducibility and Chern coefficients for primary ideals. Therefore, the main result of this…”
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The eventual index of reducibility of parameter ideals and the sequentially Cohen–Macaulay property
Published in Archiv der Mathematik (01-05-2019)“…In this paper, our purpose is to give a characterization of a sequentially Cohen–Macaulay module, which was introduced by Stanley (Combinatorics and…”
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Parametric Decomposition of Powers of Parameter Ideals and Sequentially Cohen-Macaulay Modules
Published in Proceedings of the American Mathematical Society (01-01-2009)“…Let M be a finitely generated module of dimension d over a Noetherian local ring (R, m) and q an ideal generated by a system of parameters x̱ = $x_{1},\ldots…”
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On the Set of Chern Numbers in Local Rings
Published in Acta mathematica vietnamica (2024)“…The purpose of this paper is to characterize Noetherian local rings ( R , m ) such that the Chern numbers of certain m -primary ideals in R are bounded above…”
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On cylindrical smooth rational Fano fourfolds
Published in Journal of the Korean Mathematical Society (01-01-2022)“…We construct new families of smooth Fano fourfolds with Picard rank $1$ which contain open $\mathbb A^1$-cylinders, that is, Zariski open subsets of the form…”
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A note on Chern coefficients and Cohen–Macaulay rings
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Huneke–Wiegand conjecture and change of rings
Published in Journal of algebra (15-01-2015)“…Let R be a Cohen–Macaulay local ring of dimension one with a canonical module KR. Let I be a faithful ideal of R. We explore the problem of when I⊗RI∨ is…”
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Canonical Stretched Rings
Published in Acta mathematica vietnamica (2022)“…In this paper, we introduce the concept of canonical stretched rings, sparse stretched rings, and maximum sparse ideals. Then, we give characterizations of…”
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Critical Paired Dominating Sets and Irreducible Decompositions of Powers of Edge Ideals
Published in Acta mathematica vietnamica (15-09-2019)“…Let G be a finite simple graph. A set S of vertices is a critical paired dominating set of G , if every vertex is adjacent to a vertex in S and the removal of…”
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A FORMAL PROOF OF THE KEPLER CONJECTURE
Published in Forum of mathematics. Pi (2017)“…This article describes a formal proof of the Kepler conjecture on dense sphere packings in a combination of the HOL Light and Isabelle proof assistants. This…”
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The equality I2=qI in sequentially Cohen–Macaulay rings
Published in Journal of algebra (01-04-2013)“…Let R be a sequentially Cohen–Macaulay local ring and assume that dimR⩾2 or that dimR=1 and e(R)>1. Then the equality I2=qI holds true for every good parameter…”
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Asymptotic behavior of parameter ideals in generalized Cohen–Macaulay modules
Published in Journal of algebra (01-07-2008)“…The purpose of this paper is to give affirmative answers to two open questions as follows. Let ( R , m ) be a generalized Cohen–Macaulay Noetherian local ring…”
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Uniform Bounds in Sequentially Generalized Cohen–Macaulay Modules
Published in Vietnam journal of mathematics (01-06-2015)“…Let M be a sequentially generalized Cohen–Macaulay module over a Noetherian local ring R and F a generalized Cohen–Macaulay filtration of M . In this paper, we…”
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Quasi-socle ideals and Goto numbers of parameters
Published in Journal of pure and applied algebra (01-05-2010)“…Goto numbers g ( Q ) = max { q ∈ Z ∣ Q : m q is integral over Q } for certain parameter ideals Q in a Noetherian local ring ( A , m ) with Gorenstein…”
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Index of reducibility of distinguished parameter ideals and sequentially Cohen-Macaulay modules
Published in Proceedings of the American Mathematical Society (01-06-2013)“…It is shown that every sequentially Cohen-Macaulay module eventually has constant index of reducibility for distinguished parameter ideals…”
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A note on Chern coefficients and Cohen-Macaulay rings
Published 25-08-2021“…Ark. Mat. 58 (1) (2020) 197 - 212 In this paper, we investigate the relationship between the index of reducibility and Chern coefficients for primary ideals…”
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Canonical stretched rings
Published 25-08-2021“…In this paper, we introduce the concept of canonical stretched rings, sparse stretched rings and maximum sparse ideals. Then we give characterizations of…”
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