Lattices of partial sums
In this paper we introduce and study a class of partially ordered sets that can be interpreted as partial sums of indeterminate real numbers. An important example of these partially ordered sets, is the classical Young lattice \(\mathbb{Y}\) of the integer partitions. In this context, the sum functi...
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| Дата: | 2018 |
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| Формат: | Стаття |
| Мова: | English |
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Lugansk National Taras Shevchenko University
2018
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| Онлайн доступ: | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1055 |
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| Назва журналу: | Algebra and Discrete Mathematics |
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oai:ojs.admjournal.luguniv.edu.ua:article-10552018-04-26T02:40:33Z Lattices of partial sums Chiaselotti, Giampiero Gentile, Tommaso Oliverio, Paolo Antonio Distributive Lattices, Real Partial Sums, Integer Partitions Primary: 06A06, Secondary: 06A07, 05A17 In this paper we introduce and study a class of partially ordered sets that can be interpreted as partial sums of indeterminate real numbers. An important example of these partially ordered sets, is the classical Young lattice \(\mathbb{Y}\) of the integer partitions. In this context, the sum function associated to a specific assignment of real values to the indeterminate variables becomes a valuation on a distributive lattice. Lugansk National Taras Shevchenko University 2018-04-26 Article Article Peer-reviewed Article application/pdf https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1055 Algebra and Discrete Mathematics; Vol 18, No 2 (2014) 2415-721X 1726-3255 en https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1055/577 Copyright (c) 2018 Algebra and Discrete Mathematics |
| institution |
Algebra and Discrete Mathematics |
| collection |
OJS |
| language |
English |
| topic |
Distributive Lattices Real Partial Sums Integer Partitions Primary: 06A06 Secondary: 06A07 05A17 |
| spellingShingle |
Distributive Lattices Real Partial Sums Integer Partitions Primary: 06A06 Secondary: 06A07 05A17 Chiaselotti, Giampiero Gentile, Tommaso Oliverio, Paolo Antonio Lattices of partial sums |
| topic_facet |
Distributive Lattices Real Partial Sums Integer Partitions Primary: 06A06 Secondary: 06A07 05A17 |
| format |
Article |
| author |
Chiaselotti, Giampiero Gentile, Tommaso Oliverio, Paolo Antonio |
| author_facet |
Chiaselotti, Giampiero Gentile, Tommaso Oliverio, Paolo Antonio |
| author_sort |
Chiaselotti, Giampiero |
| title |
Lattices of partial sums |
| title_short |
Lattices of partial sums |
| title_full |
Lattices of partial sums |
| title_fullStr |
Lattices of partial sums |
| title_full_unstemmed |
Lattices of partial sums |
| title_sort |
lattices of partial sums |
| description |
In this paper we introduce and study a class of partially ordered sets that can be interpreted as partial sums of indeterminate real numbers. An important example of these partially ordered sets, is the classical Young lattice \(\mathbb{Y}\) of the integer partitions. In this context, the sum function associated to a specific assignment of real values to the indeterminate variables becomes a valuation on a distributive lattice. |
| publisher |
Lugansk National Taras Shevchenko University |
| publishDate |
2018 |
| url |
https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1055 |
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AT chiaselottigiampiero latticesofpartialsums AT gentiletommaso latticesofpartialsums AT oliveriopaoloantonio latticesofpartialsums |
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2024-04-12T06:27:18Z |
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2024-04-12T06:27:18Z |
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1796109243885027328 |