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BIBTEX RIS

On a result of Gábor Czédli concerning congruence lattices of planar semimodular lattices

2015; Birkhäuser; Volume: 81; Issue: 1-2 Linguagem: Inglês

10.14232/actasm-014-024-1

ISSN

2064-8316

Autores

George Grätzer,

Tópico(s)

semigroups and automata theory

Resumo

A planar semimodular lattice is slim if it does not contain M 3 as a sublattice.An SPS lattice is a slim, planar, semimodular lattice.Congruence lattices of SPS lattices satisfy a number of properties.It was conjectured that these properties characterize them.A recent result of Gábor Czédli proves that there is an eight element (planar) distributive lattice having all these properties that cannot be represented as the congruence lattice of an SPS lattice.We provide a new proof.

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