A note on distributive double -algebras
Hector Gramaglia, Diego Vaggione (1998)
Czechoslovak Mathematical Journal
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Hector Gramaglia, Diego Vaggione (1998)
Czechoslovak Mathematical Journal
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Michael E. Adams, Rodney Beazer (1991)
Czechoslovak Mathematical Journal
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Michael E. Adams, Rodney Beazer (1991)
Czechoslovak Mathematical Journal
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Beazer, R. (1994)
Acta Mathematica Universitatis Comenianae. New Series
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Krisztina Balog, Benedek Skublics (2011)
Discussiones Mathematicae - General Algebra and Applications
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We define the order-congruence distributivity at 0 and order- congruence n-distributivity at 0 of ordered algebras with a nullary operation 0. These notions are generalizations of congruence distributivity and congruence n-distributivity. We prove that a class of ordered algebras with a nullary operation 0 closed under taking subalgebras and direct products is order-congruence distributive at 0 iff it is order-congruence n-distributive at 0. We also characterize such classes by a Mal'tsev...
Ivan Chajda, Radomír Halaš (2007)
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
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A diagrammatic scheme characterizing congruence distributivity of congruence permutable algebras was introduced by the first author in 2001. It is known under the name Triangular Scheme. It is known that every congruence distributive algebra satisfies this scheme and an algebra satisfying the Triangular Scheme which is not congruence distributive was found by E. K. Horváth, G. Czédli and the autor in 2003. On the other hand, it was an open problem if a variety of algebras satisfying...