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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Displaying similar documents to “Annihilators and deductive systems in commutative Hilbert algebras”
Remarks on commutative Hilbert algebras
Representation and duality for Hilbert 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...
Some properties of epimorphisms of Hilbert algebras
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.
Hilbert algebras of fractions.
Dan, Christina-Theresia (2009)
International Journal of Mathematics and Mathematical Sciences
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A note on homomorphisms of Hilbert algebras.
Celani, Sergio (2002)
International Journal of Mathematics and Mathematical Sciences
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On ideals in Hilbert algebras
Wiesław Aleksander Dudek (1999)
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
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Relatively pseudocomplemented Hilbert algebras
Jānis Cīrulis (2008)
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We characterise those Hilbert algebras that are relatively pseudocomplemented posets.