Remarks on commutative Hilbert algebras
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.
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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.
Sergio Celani, Leonardo Cabrer, Daniela Montangie (2009)
Open Mathematics
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In this paper we introduce a special kind of ordered topological spaces, called Hilbert spaces. We prove that the category of Hilbert algebras with semi-homomorphisms is dually equivalent to the category of Hilbert spaces with certain relations. We restrict this result to give a duality for the category of Hilbert algebras with homomorphisms. We apply these results to prove that the lattice of the deductive systems of a Hilbert algebra and the lattice of open subsets of its dual Hilbert...
Dumitru Buşneag, Mircea Ghiţă (2010)
Open Mathematics
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This paper represents a start in the study of epimorphisms in some categories of Hilbert algebras. Even if we give a complete characterization for such epimorphisms only for implication algebras, the following results will make possible the construction of some examples of epimorphisms which are not surjective functions. Also, we will show that the study of epimorphisms of Hilbert algebras is equivalent with the study of epimorphisms of Hertz algebras.
Dan, Christina-Theresia (2009)
International Journal of Mathematics and Mathematical Sciences
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Celani, Sergio (2002)
International Journal of Mathematics and Mathematical Sciences
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Wiesław Aleksander Dudek (1999)
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
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