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Modular Lattices

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The Congruences of a Finite Lattice
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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 E. T. Schmidt [174] (see also E. T. Schmidt [180]):

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Grätzer, G. (2016). Modular Lattices. In: The Congruences of a Finite Lattice. Birkhäuser, Cham. https://doi.org/10.1007/978-3-319-38798-7_12

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