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XVIII.—The Solution of Equations in a Lattice.

Published online by Cambridge University Press:  14 February 2012

R. L. Goodstein
R. L. Goodstein
Affiliation:
Department of Mathematics, University of Leicester.
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Synopsis

Necessary and sufficient conditions are given for the existence of solutions of equations, in any number of variables, on distributive lattices with least and greatest elements, together with an algorithm for determining a solution when these conditions are satisfied.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 67 , Issue 3 , 1967 , pp. 231 - 242
Copyright
Copyright © Royal Society of Edinburgh 1967

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References

References to Literature

Carvallo, M., 1965. Principes et applications de l'analyse Booléenne. Paris: Gauthier-Villars.Google Scholar
Curry, H. B., 1952. Leçons de Logique Algebrique. Paris: Gauthier-Villars.Google Scholar
Goodstein, R. L., 1965. Boolean Algebra. Oxford: Pergamon.Google Scholar
Goto, M., 1957. General solutions of the Logical Algebraic Equation with many unknowns. U.R.S.I. General Assembly, Boulder.Google Scholar
Löwenheim, L., 1910. “Über die Auflösung von Gleichungen in logischen Gebietkalkül”, Math. Ann., 68, 169–207.CrossRefGoogle Scholar
Rudeanu, S., 1965. “Observatii asupra lucrarilor lui motinori Goto privind ecuatiile Booléene”, Stud. Cercet. Mat., 17, 359–365.Google Scholar
Rutherford, D. E., 1965. Introduction to Lattice Theory. Edinburgh: Oliver & Boyd.Google Scholar