Congruence relations on direct products of lattices
Jozef Pócs (1982)
Mathematica Slovaca
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Jozef Pócs (1982)
Mathematica Slovaca
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Ján Jakubík (1975)
Matematický časopis
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Gerhard Dorfer (2001)
Discussiones Mathematicae - General Algebra and Applications
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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.
Hilda Draškovičová (1971)
Matematický časopis
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Boris M. Vernikov (1997)
Commentationes Mathematicae Universitatis Carolinae
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We describe -sets whose congruences satisfy some natural lattice or multiplicative restrictions. In particular, we determine -sets with distributive, arguesian, modular, upper or lower semimodular congruence lattice as well as congruence -permutable -sets for .