Finitely generated congruence distributive quasivarieties of algebras
Wiesław Dziobiak (1989)
Fundamenta Mathematicae
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Wiesław Dziobiak (1989)
Fundamenta Mathematicae
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Manfred Armbrust (1973)
Colloquium Mathematicae
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Ivan Chajda, Radomír Halaš (2002)
Discussiones Mathematicae - General Algebra and Applications
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We present a countable infinite chain of conditions which are essentially weaker then congruence modularity (with exception of first two). For varieties of algebras, the third of these conditions, the so called 4-submodularity, is equivalent to congruence modularity. This is not true for single algebras in general. These conditions are characterized by Maltsev type conditions.
Hao Pan (2007)
Acta Arithmetica
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Scott Ahlgren (2003)
Acta Arithmetica
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К.В. Адаричева, В.А. Горбунов, В. Дзёбяк, K. V. Adaričeva (1997)
Algebra i Logika
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Marica D. Prešić (1979)
Publications de l'Institut Mathématique
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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.
Ivan Chajda, Gábor Czédli, Eszter K. Horváth (2003)
Mathematica Slovaca
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Gábor Czédli, Eszter K. Horváth (2002)
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
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Magill, K.D.jun. (1984)
International Journal of Mathematics and Mathematical Sciences
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Ying Zhang (2007)
Acta Arithmetica
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