EMIS ELibM Electronic Journals PUBLICATIONS DE L'INSTITUT MATHÉMATIQUE (BEOGRAD) (N.S.)
Vol. 42(56), pp. 29--34 (1987)

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THE FORMULAS OF THE GENERAL REPRODUCTIVE SOLUTION OF AN EQUATION IN BOOLEAN RING WITH UNIT

Dragi\'c Bankovi\'c

Prirodno-matematicki fakultet, Kragujevac, Yugoslavia

Abstract: We explicitly give the formulas of the general reproductive solution of an equation in Boolean ring with unit. In accordance with the equivalence between Boolean algebras and Boolean rings with unit (Theorem 1) we use Vaught's theorem 2 and solve the equation in $\{0,1\}$. We allso use Presi\'c's formula of the general reproductive solution of the equation in the finite set.

Classification (MSC2000): 06E20, 03G05

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Electronic fulltext finalized on: 2 Nov 2001. This page was last modified: 8 Mar 2002.

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