Congruences of the fork extensions. I. The Congruence Extension Property

Abstract

For a slim, planar, semimodular lattice, G. Czédli and E.\,T. Schmidt introduced the fork extension in 2012. In this note we prove that the fork extension has the Congruence Extension Property. This paper has been merged with Part II, under the title Congruences of fork extensions of slim semimodular lattices, see arXiv: 1307.8404

arXiv commentarXiv admin note: substantial text overlap with arXiv:1307.8404

Cited by in corpus (1)

• Using the Swing Lemma and ${\mathcal{C}}_1$-diagrams for congruences of planar semimodular lattices