This article is cited in 16 papers

Lattices That are Embeddable in Suborder Lattices

M. V. Semenova

Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences

Abstract: Various types of lattices are embedded in suborder lattices of posets possessing certain properties. In particular, it is shown that the class of lattices isomorphic to sublattices of suborder lattices of posets of length at most $n$ is a variety, for any $n<\omega$.

Keywords: variety, suborder lattice of posets.

UDC: 512.56

Received: 19.03.2003
Revised: 06.05.2005

 English version: Algebra and Logic, 2005, 44:4, 270–285

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