The theory of Boolean algebras with an additional binary operation

Studia Logica 42 (4):389 - 405 (1983)


This paper deals with Boolean algebras supplied with an additional binary operation, calledB-algebras for short.The aim of the paper is to generalize some theorems concerning topological Boolean algebras to more comprehensive classes ofB-algebras, to formulate fundamental properties ofB-algebras, and to find more important relationships of these algebras to other known algebras.

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References found in this work

Abolition of the Fregean Axiom.Roman Suszko - 1975 - Lecture Notes in Mathematics 453:169-239.
Identity Connective and Modality.Roman Suszko - 1971 - Studia Logica 27 (1):7-39.
An Extension Algebra and the Modal System ${\rm T}$.E. J. Lemmon - 1960 - Notre Dame Journal of Formal Logic 1 (1-2):3-12.
An Axiomatization of Topological Boolean Algebras.Joel Kagan - 1972 - Zeitschrift fur mathematische Logik und Grundlagen der Mathematik 18 (7):103-106.
An Axiomatization of Topological Boolean Algebras.Joel Kagan - 1972 - Mathematical Logic Quarterly 18 (7):103-106.

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Citations of this work

B-Varieties with Normal Free Algebras.Bronis?aw Tembrowski - 1989 - Studia Logica 48 (4):555 - 564.

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