Results 41 to 50 of about 794 (137)
Cellularity of free products of Boolean algebras (or topologies) [PDF]
Fundamenta Mathematicae, 2000 We answer Problem 1 of Monk if there are Boolean algebras B_1,B_2 such that c(B_i) <= lambda_i but c(B_1 x B_2)> lambda_1+ lambda_2 where lambda_1= mu is singular and mu > lambda_2= theta >cf(mu)
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On the non-existence of free complete Boolean algebras [PDF]
Fundamenta Mathematicae, 1964 Rieger asked in 1951 if there exists a free complete Boolean algebra on ω complete generators. Crawley and Dean proved in 1955 that there does not exist a free complete lattice on three complete generators, but their method does not extend to Boolean algebras. In this thesis Rieger's question is answered in the negative.
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Free-free-Boolean independence for triples of algebras
, 2018 21 pages+ reference. Comments are welcome.
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Free Boolean algebras over unions of two well orderings
Topology and its Applications, 2009 19 ...
Bonnet, Robert, Faouzi, L., Kubis, W.
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Boolean algebras of unambiguous context-free languages.
, 2008 Several recent works have studied subfamilies of deterministic context-free languages with good closure properties, for instance the families of input-driven or visibly pushdown languages, or more generally families of languages accepted by pushdown automata whose stack height can be uniquely determined by the input word read so far. These ideas can be
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, 2013 We give some general theorems on free algebras of varieties of Boolean algebras with operators; a hitherto new result is obtained for Pinter's substitution algebras. For n\geq 3, and m>1, there is a generating set of the free algebra freely generated by m elements, which is not a free set of generators.
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Free complete extensions of Boolean algebras [PDF]
Pacific Journal of Mathematics, 1965 openaire +2 more sources
Free Extensions of Sets of Boolean Algebras
Indagationes Mathematicae (Proceedings), 1964 Dwinger, P.H., Yaqub, F.M.
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On diamond-free subposets of the Boolean lattice: An application of flag algebras
, 2018 The Boolean lattice of dimension two, also known as the diamond, consists of four distinct elements with the following property: A B;C D. The 3-crown consists of six distinct elements with the following property: A a subset of B, D and B a subset of C E and A a subset of C, F. A P-free family in the n-dimensional Boolean lattice is a subposet such that
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A note on infinite partitions of free products of Boolean algebras
Pacific Journal of MathematicsIf $A$ is an infinite Boolean algebra the cardinal invariant $\mathfrak{a}(A)$ is defined as the smallest size of an infinite partition of $A$. The cardinal $\mathfrak{a}(A\oplus B)$, where $A\oplus B$ is the free product of the Boolean algebras $A$ and $B$ (whose dual topological space is the product of the dual topological spaces of $A$ and $B$), is ...
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