Lattices of partial sums

• Date: 2018
• Main Authors: Chiaselotti, Giampiero, Gentile, Tommaso, Oliverio, Paolo Antonio
• Format: Article
• Language: English
• Published: Lugansk National Taras Shevchenko University 2018
• Subjects: Distributive Lattices; Real Partial Sums; Integer Partitions; Primary: 06A06; Secondary: 06A07; 05A17
• Online Access: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1055
• Journal Title: Algebra and Discrete Mathematics

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 functi...