An algebraic and logical approach to continuous images
An extension of the Stone representation for orthomodular lattices
Announcements of new results
Another note on countable Boolean algebras
We prove that a Boolean algebra is countable iff its subalgebra lattice admits a continuous complementation.
Any orthomodular poset is a pasting of Boolean algebras
Aplikace theorie uspořádaných kontinuí na Booleovy algebry
Application of the factorization theorem for Stone algebras in locales [Abstract of thesis]
Atomicity of the Boolean algebra of direct factors of a directed set
In the present paper we deal with the relations between direct product decompositions of a directed set and direct product decompositions of intervals of .
Atoms and Generators in Boolean -Algebras
Automorphisms of
We study conditions on automorphisms of Boolean algebras of the form (where λ is an uncountable cardinal and is the ideal of sets of cardinality less than κ ) which allow one to conclude that a given automorphism is trivial. We show (among other things) that every automorphism of which is trivial on all sets of cardinality κ⁺ is trivial, and that implies both that every automorphism of (ℝ)/Fin is trivial on a cocountable set and that every automorphism of (ℝ)/Ctble is trivial.
Bemerkung zu der Arbeit: „Die Anwendung der Polarität auf die direkten Produktzerlegungen einer Gruppe‟ von František Šik
Boolean algebras admitting a countable minimally acting group
The aim of this paper is to show that every infinite Boolean algebra which admits a countable minimally acting group contains a dense projective subalgebra.
Boolean algebras and ultracompactness
Boolean algebras in which every chain and antichain is countable
Boolean algebras with a unary operator
Boolean algebras with finite families of computable automorphisms.
Boolean algebras with ordered bases
Boolean and orthomodular lattices - a short characterization via commutativity
Boolean concept lattices and good contexts
Boolean differential operators
We consider four combinatorial interpretations for the algebra of Boolean differential operators and construct, for each interpretation, a matrix representation for the algebra of Boolean differential operators.