Results 11 to 20 of about 945 (231)
Overlap Algebras: a Constructive Look at Complete Boolean Algebras [PDF]
Logical Methods in Computer Science, 2020 The notion of a complete Boolean algebra, although completely legitimate in constructive mathematics, fails to capture some natural structures such as the lattice of subsets of a given set.
Francesco Ciraulo, Michele Contente
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A decomposition of complete Boolean algebras [PDF]
Pacific Journal of Mathematics, 1980 Denoting by |B| the cardinality of a Boolean algebra B and by S(B) the least cardinal k such that every family of mutually disjoint elements of B has cardinality less than k, we prove that: If B is a complete Boolean algebras, then there is a finite ...
Spiros A. Argyros
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Homomorphic images of 𝜎-complete Boolean algebras [PDF]
Proceedings of the American Mathematical Society, 1975 It is a well-known theorem of R. S. Pierce that, for every infinite cardinal α , α ℵ 0
Sabine Koppelberg
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Some Properties of Complete Boolean Algebras [PDF]
Sahand Communications in Mathematical Analysis, 2021 The main result of this paper is a characterization of the strongly algebraically closed algebras in the lattice of all real-valued continuous functions and the equivalence classes of $\lambda$-measurable.
Ali Molkhasi
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Simple complete Boolean algebras [PDF]
Proceedings of the American Mathematical Society, 2000 For every regular cardinal κ \kappa ...
Thomas Jech, Saharon Shelah
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On Countably Closed Complete Boolean Algebras [PDF]
Journal of Symbolic Logic, 1995 AbstractIt is unprovable that every complete subalgebra of a countably closed complete Boolean algebra is countably closed.
Thomas Jech, Saharon Shelah
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Not all 𝜎-complete Boolean algebras are quotients of complete Boolean algebras [PDF]
Proceedings of the American Mathematical Society, 1992 In Shelah’s model of no Borel lifting of the measure algebra we show that there is a σ \sigma -complete Boolean algebra of cardinality 2 ω {2^\omega } that is not a quotient of a ...
A. Dow, J. Vermeer
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Completion of Boolean algebras in MSet
The Journal of Logic and Algebraic Programming, 2009 Two important algebraic structures in many branches of mathematics as well as in computer science are M-sets (sets with an action of a monoid M on them) and Boolean algebras. Of particular significance are complete Boolean algebras. And in the absence of
Mahmoudi, M., Ebrahimi, M. Mehdi
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Complete Quotient Boolean Algebras [PDF]
Transactions of the American Mathematical Society, 1995 For I I a proper, countably complete ideal on the power set
Akihiro Kanamori, Saharon Shelah
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COMPLETENESS OF IDEALS OF A BOOLEAN ALGEBRA [PDF]
Demonstratio Mathematica, 1978 Tadeusz Traczyk
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