Results 11 to 20 of about 47,397 (182)
On atomicity of free algebras in Boolean algebras with operators, and a\n new result on Pinter's free algebras [PDF]
, 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.
Tarek Sayed Ahmed
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Free-Boolean independence for pairs of algebras [PDF]
Journal of Functional Analysis, 2017 Moments-condition for free-Boolean independence is added to Section 4. Title is changed.
Weihua Liu
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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.
Alfred W. Hales
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Marde\v{s}i\'c conjecture and free products of Boolean algebras [PDF]
, 2017 We show that for every $d\ge 1$, if $L_1,\ldots, L_d$ are linearly ordered compact spaces and there is a continuous surjection \[ L_1\times L_2\times \dots\times L_d\to K_1\times K_2\times\ldots\times K_{d}\times K_{d+1},\] where all the spaces $K_i$ are infinite, then $K_i, K_j$ are metrizable for some $1\le ...
Gonzalo Martínez-Cervantes +1 more
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Free Boolean algebras over unions of two well orderings [PDF]
Topology and its Applications, 2008 19 ...
Robert Bonnet +2 more
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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)
Saharon Shelah
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Free-free-Boolean independence for triples of algebras [PDF]
, 2018 21 pages+ reference. Comments are welcome.
Weihua Liu
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The Mardešić Conjecture and free products of Boolean algebras [PDF]
Proceedings of the American Mathematical Society, 2018 In [Glas. Mat., III. Ser. 5(25), 163--170 (1970; Zbl 0195.52301)], \textit{S. Mardešić} studied continuous images of products of linearly ordered compacta and stated the following conjecture: if a product of $d$ linearly ordered compact spaces can be continuously mapped onto a product of $d + s$ infinite compact spaces $K_1, K_2, \dots , K_{d+s}$, $s ...
Gonzalo Martínez-Cervantes +1 more
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On Free $ℵ_ξ$-complete Boolean Algebras [PDF]
Fundamenta Mathematicae, 1951 Ladislav Rieger
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On diamond-free subposets of the Boolean lattice: An application of flag algebras
, 2014 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
Lucas Kramer
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