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  1. B-Varieties with Normal Free Algebras.Bronis?aw Tembrowski - 1989 - Studia Logica 48 (4):555 - 564.
    The starting point for the investigation in this paper is the following McKinsey-Tarski's Theorem: if f and g are algebraic functions (of the same number of variables) in a topological Boolean algebra (TBA) and if C(f)C(g) vanishes identically, then either f or g vanishes identically. The present paper generalizes this theorem to B-algebras and shows that validity of that theorem in a variety of B-algebras (B-variety) generated by SCI B -equations implies that its free Lindenbaum-Tarski's algebra is normal. This is (...)
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  • Q-Ultrafilters and Normal Ultrafilters in B-Algebras.Bronis?aw Tembrowski - 1986 - Studia Logica 45 (2):167 - 179.
    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.
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