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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| Published in: | Algebra and Discrete Mathematics |
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| Date: | 2014 |
| Main Authors: | , , |
| Format: | Article |
| Language: | English |
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Інститут прикладної математики і механіки НАН України
2014
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/153329 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | 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. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862560842298425344 |
|---|---|
| author | Chiaselotti, G. Gentile, T. Oliverio, P.A. |
| author_facet | Chiaselotti, G. Gentile, T. Oliverio, P.A. |
| 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. |
| collection | DSpace DC |
| container_title | Algebra and Discrete Mathematics |
| 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.
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| first_indexed | 2025-11-25T23:08:43Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-153329 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1726-3255 |
| language | English |
| last_indexed | 2025-11-25T23:08:43Z |
| publishDate | 2014 |
| publisher | Інститут прикладної математики і механіки НАН України |
| record_format | dspace |
| spelling | Chiaselotti, G. Gentile, T. Oliverio, P.A. 2019-06-14T03:21:25Z 2019-06-14T03:21:25Z 2014 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. https://nasplib.isofts.kiev.ua/handle/123456789/153329 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. en Інститут прикладної математики і механіки НАН України Algebra and Discrete Mathematics Lattices of partial sums Article published earlier |
| spellingShingle | Lattices of partial sums Chiaselotti, G. Gentile, T. Oliverio, P.A. |
| 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 |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/153329 |
| work_keys_str_mv | AT chiaselottig latticesofpartialsums AT gentilet latticesofpartialsums AT oliveriopa latticesofpartialsums |