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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| Date: | 2018 |
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| Main Authors: | , , |
| Format: | Article |
| Language: | English |
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Lugansk National Taras Shevchenko University
2018
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| Online Access: | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1055 |
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| Journal Title: | Algebra and Discrete Mathematics |
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Algebra and Discrete Mathematics| _version_ | 1856543284149616640 |
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| author | Chiaselotti, Giampiero Gentile, Tommaso Oliverio, Paolo Antonio |
| author_facet | Chiaselotti, Giampiero Gentile, Tommaso Oliverio, Paolo Antonio |
| author_sort | Chiaselotti, Giampiero |
| baseUrl_str | |
| collection | OJS |
| datestamp_date | 2018-04-26T02:40:33Z |
| 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. |
| first_indexed | 2025-12-02T15:43:55Z |
| format | Article |
| id | admjournalluguniveduua-article-1055 |
| institution | Algebra and Discrete Mathematics |
| language | English |
| last_indexed | 2025-12-02T15:43:55Z |
| publishDate | 2018 |
| publisher | Lugansk National Taras Shevchenko University |
| record_format | ojs |
| spelling | admjournalluguniveduua-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 |
| spellingShingle | Distributive Lattices Real Partial Sums Integer Partitions Primary: 06A06 Secondary: 06A07 05A17 Chiaselotti, Giampiero Gentile, Tommaso Oliverio, Paolo Antonio Lattices of partial sums |
| title | Lattices of partial sums |
| title_full | Lattices of partial sums |
| title_fullStr | Lattices of partial sums |
| title_full_unstemmed | Lattices of partial sums |
| title_short | Lattices of partial sums |
| title_sort | lattices of partial sums |
| topic | Distributive Lattices Real Partial Sums Integer Partitions Primary: 06A06 Secondary: 06A07 05A17 |
| topic_facet | Distributive Lattices Real Partial Sums Integer Partitions Primary: 06A06 Secondary: 06A07 05A17 |
| url | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1055 |
| work_keys_str_mv | AT chiaselottigiampiero latticesofpartialsums AT gentiletommaso latticesofpartialsums AT oliveriopaoloantonio latticesofpartialsums |