Geodesic
Variants of the lattice of partitions of a countable set
Algebra and discrete mathematics, Tome 26 (2018) no. 1, pp. 8-18.

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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 ∧ which maps two partitions to their greatest lower bound. We obtain necessary and sufficiency conditions for isomorphism of two variants of the semigroup Part(M).
Keywords: sandwich-semigroup, lattice of partitions.
Mots-clés : variant 
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Oleksandra O. Desiateryk; Olexandr G. Ganyushkin. Variants of the lattice of partitions of a countable set. Algebra and discrete mathematics, Tome 26 (2018) no. 1, pp. 8-18. https://geodesic-test.mathdoc.fr/item/ADM_2018_26_1_a2/

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