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.