This article is cited 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

 English version: Siberian Mathematical Journal, 2007, 48:4, 718–732

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