Q-ultrafilters and normal ultrafilters in B-algebras

descriptionPublicationkeyboard_double_arrow_right Article 01 Jun 1986 English Publisher:Springer Science and Business Media LLCJournal:Studia Logica, volume 45, pages 167-179 (issn: 0039-3215, eissn: 1572-8730,

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Authors: Bronislaw Tembrowski;

doi: 10.1007/bf00373272

Q-ultrafilters and normal ultrafilters in B-algebras

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Abstract

The first part of the paper deals with some subclasses of B-algebras and their applications to the semantics of \(SCI_ B\), the Boolean strengthening of the sentential calculus with identity (SCI). In the second part a generalization of the McKinsey-Tarski construction of well- connected topological Boolean algebras to the class of B-algebras is given.

Related Organizations

Pedagogical University
Mozambique
Pedagogical University of Kraków
Poland

Keywords

Boolean strengthening of the sentential calculus with identity, SCI, subclasses of B-algebras, Logical aspects of Boolean algebras, Cardinality properties (cardinal functions and inequalities, discrete subsets), McKinsey-Tarski construction, topological Boolean algebras

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