Lattices of partial sums

• Datum: 2018
• Hauptverfasser: Chiaselotti, Giampiero, Gentile, Tommaso, Oliverio, Paolo Antonio
• Format: Artikel
• Sprache: English
• Veröffentlicht: Lugansk National Taras Shevchenko University 2018
• Schlagworte: Distributive Lattices; Real Partial Sums; Integer Partitions; Primary: 06A06; Secondary: 06A07; 05A17
• Online Zugang: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1055
• Назва журналу: 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...