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.

Lattices of partial sums. / Chiaselotti, Giampiero; Gentile, Tommaso; Oliverio, Paolo Antonio. - In: ALGEBRA AND DISCRETE MATHEMATICS. - ISSN 1726-3255. - 18:2(2014), pp. 171-185.

Lattices of partial sums.

Chiaselotti, Giampiero
;
Gentile, Tommaso;Oliverio, Paolo Antonio
2014

Abstract

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.
Distributive Lattices; Real Partial Sums; Integer Partitions
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.11770/144565
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