Modular Lattices

George Grätzer

Chapter Chapter 12 in The Congruences of a Finite Lattice, 2016, pp 127-139 from Springer

Abstract: Abstract Corollary 3.12 notes that the congruence lattice of a finite modular lattice is boolean; however, a finite distributive lattice has a representation as the congruence lattice of an infinite modular lattice by Schmidt, E. T. E. T. Schmidt [174] (see also Schmidt, E. T. E. T. Schmidt [180]):

Keywords: Modular Lattice; Finite Distributive Lattice; Join-irreducible Congruences; Dual Atom; Antichain (search for similar items in EconPapers)
Date: 2016
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DOI: 10.1007/978-3-319-38798-7_12

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