Minimal lattice points in the Newton polyhedron and application to normal ideals
Let \(a_1,..., a_n\) be positive integers and let \(\Delta= NP(a_1,..., a_n)\) be the Newton polyhedron associated to these integers, that is, the convex hull in \(\mathbb{R}^{n}\) of the axial points that have \(a_i\) in the \(x_i\)-axis. We give some characterization of the minimal elements of \(\...
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| Дата: | 2024 |
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| Формат: | Стаття |
| Мова: | English |
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Lugansk National Taras Shevchenko University
2024
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| Онлайн доступ: | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/2072 |
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| Назва журналу: | Algebra and Discrete Mathematics |
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oai:ojs.admjournal.luguniv.edu.ua:article-20722024-04-21T17:47:57Z Minimal lattice points in the Newton polyhedron and application to normal ideals Al-Ayyoub, Ibrahim Newton polyhedron, integral closure, normal ideals, convex hull 13B22, 52B20 Let \(a_1,..., a_n\) be positive integers and let \(\Delta= NP(a_1,..., a_n)\) be the Newton polyhedron associated to these integers, that is, the convex hull in \(\mathbb{R}^{n}\) of the axial points that have \(a_i\) in the \(x_i\)-axis. We give some characterization of the minimal elements of \(\Delta\), and then use this characterization to give an alternative simpler proof of a main result of [7] on the normality of monomial ideals. Lugansk National Taras Shevchenko University 2024-04-21 Article Article Peer-reviewed Article application/pdf https://admjournal.luguniv.edu.ua/index.php/adm/article/view/2072 10.12958/adm2072 Algebra and Discrete Mathematics; Vol 37, No 1 (2024) 2415-721X 1726-3255 en https://admjournal.luguniv.edu.ua/index.php/adm/article/view/2072/pdf https://admjournal.luguniv.edu.ua/index.php/adm/article/downloadSuppFile/2072/1058 Copyright (c) 2024 Algebra and Discrete Mathematics |
| institution |
Algebra and Discrete Mathematics |
| collection |
OJS |
| language |
English |
| topic |
Newton polyhedron integral closure normal ideals convex hull 13B22 52B20 |
| spellingShingle |
Newton polyhedron integral closure normal ideals convex hull 13B22 52B20 Al-Ayyoub, Ibrahim Minimal lattice points in the Newton polyhedron and application to normal ideals |
| topic_facet |
Newton polyhedron integral closure normal ideals convex hull 13B22 52B20 |
| format |
Article |
| author |
Al-Ayyoub, Ibrahim |
| author_facet |
Al-Ayyoub, Ibrahim |
| author_sort |
Al-Ayyoub, Ibrahim |
| title |
Minimal lattice points in the Newton polyhedron and application to normal ideals |
| title_short |
Minimal lattice points in the Newton polyhedron and application to normal ideals |
| title_full |
Minimal lattice points in the Newton polyhedron and application to normal ideals |
| title_fullStr |
Minimal lattice points in the Newton polyhedron and application to normal ideals |
| title_full_unstemmed |
Minimal lattice points in the Newton polyhedron and application to normal ideals |
| title_sort |
minimal lattice points in the newton polyhedron and application to normal ideals |
| description |
Let \(a_1,..., a_n\) be positive integers and let \(\Delta= NP(a_1,..., a_n)\) be the Newton polyhedron associated to these integers, that is, the convex hull in \(\mathbb{R}^{n}\) of the axial points that have \(a_i\) in the \(x_i\)-axis. We give some characterization of the minimal elements of \(\Delta\), and then use this characterization to give an alternative simpler proof of a main result of [7] on the normality of monomial ideals. |
| publisher |
Lugansk National Taras Shevchenko University |
| publishDate |
2024 |
| url |
https://admjournal.luguniv.edu.ua/index.php/adm/article/view/2072 |
| work_keys_str_mv |
AT alayyoubibrahim minimallatticepointsinthenewtonpolyhedronandapplicationtonormalideals |
| first_indexed |
2024-04-21T19:20:17Z |
| last_indexed |
2024-04-21T19:20:17Z |
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1803076170701340672 |