Szegoö-type properties in a non-commutative case
Wacław Szymański (1977)
Annales Polonici Mathematici
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Wacław Szymański (1977)
Annales Polonici Mathematici
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Ivan Chajda, Radomír Halaš, Young Bae Jun (2002)
Commentationes Mathematicae Universitatis Carolinae
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The properties of deductive systems in Hilbert algebras are treated. If a Hilbert algebra considered as an ordered set is an upper semilattice then prime deductive systems coincide with meet-irreducible elements of the lattice of all deductive systems on and every maximal deductive system is prime. Complements and relative complements of are characterized as the so called annihilators in .
Guessous, Mohamed (1997)
Journal of Convex Analysis
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Lothar Göttsche (1990)
Manuscripta mathematica
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Rechnoi, V. (2005)
Lobachevskii Journal of Mathematics
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Radomír Halaš (2002)
Mathematica Bohemica
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The paper shows that commutative Hilbert algebras introduced by Y. B. Jun are just J. C. Abbot’s implication algebras.
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.