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Sibirskii Matematicheskii Zhurnal, 2007, Volume 48, Number 4, Pages 894–913
(Mi smj1753)
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This article is cited in 4 scientific papers (total in 4 papers)
On lattices embeddable into subsemigroup lattices. V. Trees
M. V. Semenova Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences
Abstract:
We prove that the class of finite lattices embeddable into the subsemilattice lattices of semilattices which are ($n$-ary) trees can be axiomatized by identities within the class of finite lattices, whence it forms a pseudovariety.
Keywords:
sublattice, subsemilattice lattice, tree, variety.
Received: 06.02.2006
Citation:
M. V. Semenova, “On lattices embeddable into subsemigroup lattices. V. Trees”, Sibirsk. Mat. Zh., 48:4 (2007), 894–913; Siberian Math. J., 48:4 (2007), 718–732
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https://www.mathnet.ru/eng/smj1753 https://www.mathnet.ru/eng/smj/v48/i4/p894
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Abstract page: | 335 | Full-text PDF : | 107 | References: | 51 |
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