A selection theorem for Boolean correspondences.
Siegfried Graf (1977)
Journal für die reine und angewandte Mathematik
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Siegfried Graf (1977)
Journal für die reine und angewandte Mathematik
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Paul D. Bacsich (1972)
Journal für die reine und angewandte Mathematik
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Tabuev, S.N. (2003)
Vladikavkazskiĭ Matematicheskiĭ Zhurnal
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Roman Sikorski (1963)
Colloquium Mathematicae
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Francesc Esteva (1977)
Stochastica
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In this note we give a characterization of complete atomic Boolean algebras by means of complete atomic lattices. We find that unicity of the representation of the maximum as union of atoms and Lambda-infinite distributivity law are necessary and sufficient conditions for the lattice to be a complete atomic Boolean algebra.
P. Ribenboin (1969)
Fundamenta Mathematicae
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William Hanf (1976)
Fundamenta Mathematicae
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Steven Garavaglia, J. M. Plotkin (1984)
Colloquium Mathematicae
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D. Banković (1987)
Matematički Vesnik
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Wroński, Stanisław (2015-10-26T10:14:52Z)
Acta Universitatis Lodziensis. Folia Mathematica
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Sergiu Rudeanu (2001)
Kragujevac Journal of Mathematics
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A. Hales (1964)
Fundamenta Mathematicae
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Sergiu Rudeanu (1998)
Mathware and Soft Computing
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An abstract form of modus ponens in a Boolean algebra was suggested in [1]. In this paper we use the general theory of Boolean equations (see e.g. [2]) to obtain a further generalization. For a similar research on Boolean deduction theorems see [3].