Algebras Whose Congruence Lattices are Distributive.
Bjarni Jonnson (1967)
Mathematica Scandinavica
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Bjarni Jonnson (1967)
Mathematica Scandinavica
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P. Rema (1965)
Fundamenta Mathematicae
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Grätzer, G., Schmidt, E.T. (1995)
Beiträge zur Algebra und Geometrie
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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.
Michael E. Adams, Rodney Beazer (1991)
Czechoslovak Mathematical Journal
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Radomír Halaš, Luboš Plojhar (2005)
Open Mathematics
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We characterize congruence lattices of standard QBCC-algebras and their connection with the congruence lattices of congruence kernels.
К.В. Адаричева, В.А. Горбунов, В. Дзёбяк, K. V. Adaričeva (1997)
Algebra i Logika
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Beazer, R. (1993)
Portugaliae mathematica
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Adam Grabowski (2015)
Formalized Mathematics
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Nelson algebras were first studied by Rasiowa and Białynicki- Birula [1] under the name N-lattices or quasi-pseudo-Boolean algebras. Later, in investigations by Monteiro and Brignole [3, 4], and [2] the name “Nelson algebras” was adopted - which is now commonly used to show the correspondence with Nelson’s paper [14] on constructive logic with strong negation. By a Nelson algebra we mean an abstract algebra 〈L, T, -, ¬, →, ⇒, ⊔, ⊓〉 where L is the carrier, − is a quasi-complementation...