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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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Bibliographic Details
Main Authors: Desiateryk, O.O., Ganyushkin, O.G.
Format: Article
Language:English
Published: Інститут прикладної математики і механіки НАН України 2018
Series:Algebra and Discrete Mathematics
Online Access:http://dspace.nbuv.gov.ua/handle/123456789/188370
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