Results 101 to 110 of about 296,040 (177)
Representation of certain classes of distributive lattices by sections of sheaves
Epstein and Horn ([6]) proved that a Post algebra is always a P-algebra and in a P-algebra, prime ideals lie in disjoint maximal chains. In this paper it is shown that a P-algebra L is a Post algebra of order n≥2, if the prime ideals of L lie in disjoint
U. Maddana Swamy, P. Manikyamba
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Discrete MathematicsA partial order on subsets defined by inclusion is a Boolean algebra. Boolean algebras form lattices and have a recursive structure apparent in their Hasse diagrams.
Weisstein, Eric
core
The Center Of A Generalized Effect Algebra
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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Archimedean Atomic Lattice Effect Algebras with Complete Lattice of Sharp Elements
We study Archimedean atomic lattice effect algebras whose set of sharp elements is a complete lattice. We show properties of centers, compatibility centers and central atoms of such lattice effect algebras.
Zdenka Riecanová
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On the Structure of Events in Boolean Games [PDF]
Conventional Boolean games embody two important assumptions: (i) all events in the game occur simultaneously; and (ii) assignments to variables must be made in complete ignorance of the values assigned to other variables.
Bradfield, Julian; id_orcid +2 more
core
Boolean matrices ... neither Boolean nor matrices [PDF]
Boolean matrices, the incidence matrices of a graph, are known not to be the (universal) matrices of a Boolean algebra. Here, we also show that their usual composition cannot make them the matrices of any algebra.
RICCI, Gabriele
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EMBEDDING OF BOOLEAN ALGEBRA WITHIN THE FRAMEWORK OF BE-ALGEBRA [PDF]
Boolean algebra constitutes the core foundation of classical mathematical logic, whereas BE-Algebra generalizes the structure of BCK as well as BCI algebras.
Choudhury, Hitesh
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We define Boolean algebras in the linear context and study its symmetric powers. We give explicit formulae for products in symmetric Boolean algebras of various dimensions. We formulate symmetric forms of the inclusion-exclusion principle.
Díaz, Rafael, Rivas, Mariolys
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Discrete MathematicsA partial order on subsets defined by inclusion is a Boolean algebra. Boolean algebras form lattices and have a recursive structure apparent in their Hasse diagrams.
Weisstein, Eric
core
We introduce quantum Boolean algebras which are the analogue of the Weyl algebras for Boolean affine spaces. We study quantum Boolean algebras from the logical and set theoretical viewpoints.
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