Boolean functions represented by random formulas
Boolean Galois theories.
Boolean games – Classifying strategies and omitting cardinality assumptions
Boolean groupoids
Boolean matrices, subalgebras and automorphisms of complete Boolean algebras
Boolean orthoposets---concreteness and orthocompleteness
Boolean part of BL-algebras
Boolean Rings of Sets Describing their Own Stone Representation
Boolean Rings that are Baire Spaces
∗ The present article was originally submitted for the second volume of Murcia Seminar on Functional Analysis (1989). Unfortunately it has been not possible to continue with Murcia Seminar publication anymore. For historical reasons the present vesion correspond with the original one.Weak completeness properties of Boolean rings are related to the property of being a Baire space (when suitably topologised) and to renorming properties of the Banach spaces of continuous functions on the corresponding...
Boolean semigroup rings and exponentials of compact zero-dimensional spaces
Boolean semirings
Boolean structure of triangular norms.
In this note results obtained by S.Ray (1997) on representation of a Boolean algebra by its triangular norms are generalized.
Boolean transformations with unique fixed points
Booleanization
Booleanization of uniform frames
Booleanization of frames or uniform frames, which is not functorial under the basic choice of morphisms, becomes functorial in the categories with weakly open homomorphisms or weakly open uniform homomorphisms. Then, the construction becomes a reflection. In the uniform case, moreover, it also has a left adjoint. In connection with this, certain dual equivalences concerning uniform spaces and uniform frames arise.
Booloïdes
Canonical ordering theorems, a first attempt
Canonical partition theorems for finite distributive lattices
Cardinal functions on compact F-spaces and on weakly countably complete Boolean algebras
Cardinal invariants of ultraproducts of Boolean algebras
We deal with some problems posed by Monk [Mo 1], [Mo 3] and related to cardinal invariants of ultraproducts of Boolean algebras. We also introduce and investigate several new cardinal invariants.