This article is cited in 1 paper

Lattices isomorphic to subsemilattice lattices of finite trees

M. V. Semenova^a, K. M. Skorobogatov<sup>b

a</sup> Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk, RUSSIA
^b Novosibirsk State University, Novosibirsk, RUSSIA

Abstract: We give a syntactic description of the class of lattices isomorphic to subsemilattice lattices of finite trees as well as of the class of lattices isomorphic to subsemilattice lattices of finite $n$-ary trees for any positive $n$.

Keywords: lattice, subsemilattice, finite tree.

UDC: 512.56

Received: 19.01.2009

 English version: Algebra and Logic, 2009, 48:4, 268–281

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