Cubic Extensions

George Grätzer

Chapter Chapter 7 in The Congruences of a Finite Lattice, 2016, pp 81-85 from Springer

Abstract: Abstract In this chapter, for a finite lattice K, we introduce an extension CubeK with the following properties: (i) The lattice K is a congruence-reflecting sublattice of CubeK. (ii) Con(CubeK) is boolean. (iii) The minimal extension of the meet-irreducible congruences are the dual atoms of Con(CubeK); their ordering is “flattened.”

Keywords: Dual Atom; Meet-irreducible Congruences; Finite Lattice; Minimal Extension; Chopped Lattice (search for similar items in EconPapers)
Date: 2016
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DOI: 10.1007/978-3-319-38798-7_7

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