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...