Variants of a lattice of partitions of a countable set

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...

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Datum:2018
Hauptverfasser: Desiateryk, O.O., Ganyushkin, O.G.
Format: Artikel
Sprache:English
Veröffentlicht: Інститут прикладної математики і механіки НАН України 2018
Schriftenreihe:Algebra and Discrete Mathematics
Online Zugang:http://dspace.nbuv.gov.ua/handle/123456789/188370
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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.

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