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 Y of the integer partitions. In this context, the sum function associated...
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| Дата: | 2014 |
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| Автори: | , , |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут прикладної математики і механіки НАН України
2014
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| Назва видання: | Algebra and Discrete Mathematics |
| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/153329 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | Lattices of partial sums / G. Chiaselotti, T. Gentile, P.A. Oliverio // Algebra and Discrete Mathematics. — 2014. — Vol. 18, № 2. — С. 171–185. — Бібліогр.: 23 назв. — англ. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
irk-123456789-153329 |
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dspace |
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irk-123456789-1533292019-06-15T01:26:58Z Lattices of partial sums Chiaselotti, G. Gentile, T. Oliverio, P.A. 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 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. 2014 Article Lattices of partial sums / G. Chiaselotti, T. Gentile, P.A. Oliverio // Algebra and Discrete Mathematics. — 2014. — Vol. 18, № 2. — С. 171–185. — Бібліогр.: 23 назв. — англ. 1726-3255 2010 MSC:Primary: 06A06, Secondary: 06A07, 05A17. http://dspace.nbuv.gov.ua/handle/123456789/153329 en Algebra and Discrete Mathematics Інститут прикладної математики і механіки НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| language |
English |
| 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 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. |
| format |
Article |
| author |
Chiaselotti, G. Gentile, T. Oliverio, P.A. |
| spellingShingle |
Chiaselotti, G. Gentile, T. Oliverio, P.A. Lattices of partial sums Algebra and Discrete Mathematics |
| author_facet |
Chiaselotti, G. Gentile, T. Oliverio, P.A. |
| author_sort |
Chiaselotti, G. |
| 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 |
| publisher |
Інститут прикладної математики і механіки НАН України |
| publishDate |
2014 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/153329 |
| citation_txt |
Lattices of partial sums / G. Chiaselotti, T. Gentile, P.A. Oliverio // Algebra and Discrete Mathematics. — 2014. — Vol. 18, № 2. — С. 171–185. — Бібліогр.: 23 назв. — англ. |
| series |
Algebra and Discrete Mathematics |
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2023-05-20T17:39:05Z |
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2023-05-20T17:39:05Z |
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1796153767881605120 |