This article is cited in 2 papers

RESEARCH ARTICLE

Lattices of partial sums

Giampiero Chiaselotti, Tommaso Gentile, Paolo Antonio Oliverio

Università degli Studi della Calabria, Dipartimento di Matematica

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.

Keywords: distributive lattices, real partial sums, integer partitions.

MSC: Primary 06A06; Secondary 06A07, 05A17

Received: 03.10.2012
Revised: 06.06.2013

Language: English

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