Search Results - "HOANG, LE TRUONG"
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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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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 (01-03-2022)“…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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20
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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