Geodesic
Some properties of congurence relations on orthomodular lattices
Discussiones Mathematicae. General Algebra and Applications, Tome 21 (2001) no. 1, pp. 57-66

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In this paper congruences on orthomodular lattices are studied with particular regard to analogies in Boolean algebras. For this reason the lattice of p-ideals (corresponding to the congruence lattice) and the interplay between congruence classes is investigated. From the results adduced there, congruence regularity, uniformity and permutability for orthomodular lattices can be derived easily.
Keywords: orthomodular lattice, congruence relation, congruence-regular, congruence-uniform, congruence-permutable 
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Dorfer, Gerhard. Some properties of congurence relations on orthomodular lattices. Discussiones Mathematicae. General Algebra and Applications, Tome 21 (2001) no. 1, pp. 57-66. http://geodesic.mathdoc.fr/item/DMGAA_2001_21_1_a5/