Variants of a lattice of partitions of a countable set

• Veröffentlicht in: Algebra and Discrete Mathematics
• Datum: 2018
• Hauptverfasser: Desiateryk, O.O., Ganyushkin, O.G.
• Format: Artikel
• Sprache: Englisch
• Veröffentlicht: Інститут прикладної математики і механіки НАН України 2018
• Online Zugang: https://nasplib.isofts.kiev.ua/handle/123456789/188370
• Назва журналу: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Zitieren: Variants of a lattice of partitions of a countable set / O.O. Desiateryk, O.G Ganyushkin // Algebra and Discrete Mathematics. — 2018. — Vol. 26, № 1. — С. 8–18. — Бібліогр.: 10 назв. — англ.

In this paper we consider the ordered by inclusion lattice Part(M) of all partitions of a countable set M. The lattice Part(M) is a semigroup with respect to the operation Λ which maps two partitions to their greatest lower bound. We obtain necessary and sufficiency conditions for isomorphism of tw...