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Precipitousness of a Sum of Ideals on Complete Boolean Algebras

Mathematical Logic Quarterly, 1988
\textit{T. Jech} and \textit{K. Prikry} [Mem. Am. Math. Soc. 214 (1979; Zbl 0398.03044)] introduced the notion of precipitousness for ideals on power set algebras. This notion is closely connected with well-foundedness of generic ultrapowers of models of set theory.
Joji Takahashi, Kazuaki Kajitori
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Dense subtrees in complete Boolean algebras

Mathematical Logic Quarterly, 2006
AbstractWe characterize complete Boolean algebras with dense subtrees. The main results show that a complete Boolean algebra contains a dense tree if its generic filter collapses the algebra's density to its distributivity number and the reverse holds for homogeneous algebras. (© 2006 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)
openaire   +1 more source

On the number of complete boolean algebras

Algebra Universalis, 1972
Monk, J. Donald, Solovay, R. M.
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Quotients of Complete Boolean Algebras

Annals of the New York Academy of Sciences, 1996
ABSTRACTWe show that every k‐field of sets with k > 2ω0 is a quotient of a complete Boolean algebra.
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The uniformly closed algebra generated by a complete Boolean algebra of projections

Mathematische Zeitschrift, 1989
Werner J Ricker   +2 more
exaly  

A complete Boolean algebra without homogeneous or rigid factors

Mathematische Annalen, 1978
Sabine Koppelberg, Koppelberg Sabine
exaly  

On free subalgebras of complete Boolean algebras

Archiv Der Mathematik, 1977
J Donald Monk
exaly  

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