Laterally commutative heaps and TST-spaces.
Vladimir Volenec (1987)
Stochastica
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A laterally commutative heap can be defined on a given set iff there is the structure of a TST-space on this set.
Displaying similar documents to “Directoids with sectionally switching involutions”
Laterally commutative heaps and TST-spaces.
Commutative directoids with sectionally antitone bijections
Ivan Chajda, Miroslav Kolařík, Sándor Radeleczki (2008)
Discussiones Mathematicae - General Algebra and Applications
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We study commutative directoids with a greatest element, which can be equipped with antitone bijections in every principal filter. These can be axiomatized as algebras with two binary operations satisfying four identities. A minimal subvariety of this variety is described.
Pseudocomplemented directoids
Ivan Chajda (2008)
Commentationes Mathematicae Universitatis Carolinae
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Directoids as a generalization of semilattices were introduced by J. Ježek and R. Quackenbush in 1990. We modify the concept of a pseudocomplement for commutative directoids and study several basic properties: the Glivenko equivalence, the set of the so-called boolean elements and an axiomatization of these algebras.
On the structure of semilattice sums
Anna B. Romanowska, Jonathan D. H. Smith (1991)
Czechoslovak Mathematical Journal
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Commutative directoids with sectional involutions
Ivan Chajda (2007)
Discussiones Mathematicae - General Algebra and Applications
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The concept of a commutative directoid was introduced by J. Ježek and R. Quackenbush in 1990. We complete this algebra with involutions in its sections and show that it can be converted into a certain implication algebra. Asking several additional conditions, we show whether this directoid is sectionally complemented or whether the section is an NMV-algebra.