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Lattices of partial sums

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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Main Authors: Chiaselotti, G., Gentile, T., Oliverio, P.A.
Format: Article
Language:English
Published: Інститут прикладної математики і механіки НАН України 2014
Series:Algebra and Discrete Mathematics
Online Access:http://dspace.nbuv.gov.ua/handle/123456789/153329
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spelling 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
work_keys_str_mv AT chiaselottig latticesofpartialsums
AT gentilet latticesofpartialsums
AT oliveriopa latticesofpartialsums
first_indexed 2023-05-20T17:39:05Z
last_indexed 2023-05-20T17:39:05Z
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