Results 31 to 40 of about 1,294 (213)

Independent families in complete Boolean algebras [PDF]

Transactions of the American Mathematical Society, 1982
We present a proof (without any set-theoretical assumptions) that every infinite complete Boolean algebra includes a free subalgebra of the same cardinality. It follows that the set of all ultrafilters on an infinite complete Boolean algebra B B has power 2 | B
Balcar, B., Franek, F.
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Complete Boolean Algebras [PDF]

, 2007
By now, we have assumed only that in every algebra we encounter there are a supremum and an infimum of each finite subset (likewise in a general lattice). We now strengthen the requirements on an algebra.
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On Free $ℵ_ξ$-complete Boolean Algebras [PDF]

Fundamenta Mathematicae, 1951
Ladislav Rieger
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The Center Of A Generalized Effect Algebra

Demonstratio Mathematica, 2014
In this article, we study the center of a generalized effect algebra (GEA), relate it to the exocenter, and in case the GEA is centrally orthocomplete (a COGEA), relate it to the exocentral cover system. Our main results are that the center of a COGEA is
Foulis D. J., Pulmannová S.
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More on the extension of linear operators on Riesz spaces

Karpatsʹkì Matematičnì Publìkacìï, 2022
The classical Kantorovich theorem asserts the existence and uniqueness of a linear extension of a positive additive mapping, defined on the positive cone $E^+$ of a Riesz space $E$ taking values in an Archimedean Riesz space $F$, to the entire space $E$.
O.G. Fotiy, A.I. Gumenchuk, M.M. Popov
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Automorphism groups of the constituent graphs of integral distance graphs

AKCE International Journal of Graphs and Combinatorics, 2023
In this paper, we consider the automorphism groups of Cayley graphs which are a basis of a complete Boolean algebra of strongly regular graphs, one of such graph is the integral distance graph [Formula: see text] The automorphism groups of the integral ...
O. Habineza, E. Mwambene
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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 family B1…, Bnof complete Boolean algebra, such that B is isomorphic to the product B1× … × Bnand |Bi|s ...
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Quantum Period Finding against Symmetric Primitives in Practice

Transactions on Cryptographic Hardware and Embedded Systems, 2021
We present the first complete descriptions of quantum circuits for the offline Simon’s algorithm, and estimate their cost to attack the MAC Chaskey, the block cipher PRINCE and the NIST lightweight finalist AEAD scheme Elephant.
Xavier Bonnetain, Samuel Jaques
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Simple complete Boolean algebras [PDF]

Israel Journal of Mathematics, 1974
IfV=L, and κ is an uncountable regular non weakly compact cardinal, then there exists a simple complete Boolean algebra of cardinality κ.
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On $p$-convexification of the Banach-Kantorovich lattice [PDF]

E-Journal of Analysis and Applied Mathematics
Let $B$ be a complete Boolean algebra, $Q(B)$ the Stone compact of $B$, and let $C_\infty (Q(B))$ be the commutative unital algebra of all continuous functions $x: Q(B) \to [-\infty, +\infty]$, assuming possibly the values $\pm\infty$ on nowhere-dense ...
Gavhar B. Zakirova
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