Applying the Czédli-Schmidt Sequences to Congruence Properties of Planar Semimodular Lattices

Abstract

Following Grätzer and Knapp, 2009, a planar semimodular lattice L is rectangular, if the left boundary chain has exactly one doubly-irreducible element, cl, and the right boundary chain has exactly one doubly-irreducible element, cr, and these elements are complementary.

Keywords

• lattice
• congruence
• semimodular
• planar
• slim
• primary: 06c10
• secondary: 06b10