Lattices of partial sums

• Veröffentlicht in: Algebra and Discrete Mathematics
• Datum: 2014
• Hauptverfasser: Chiaselotti, G., Gentile, T., Oliverio, P.A.
• Format: Artikel
• Sprache: Englisch
• Veröffentlicht: Інститут прикладної математики і механіки НАН України 2014
• Online Zugang: https://nasplib.isofts.kiev.ua/handle/123456789/153329
• Назва журналу: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Zitieren: 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.

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...