Results 21 to 30 of about 26,374 (144)

Fock factorizations, and decompositions of the $L^2$ spaces over general Levy processes

, 2003
We explicitly construct and study an isometry between the spaces of square integrable functionals of an arbitrary Levy process and a vector-valued Gaussian white noise.
Tsilevich, Natalia, Vershik, Anatoly
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The number of openly generated Boolean algebras [PDF]

Journal of Symbolic Logic, 2008
AbstractThis article is devoted to two different generalizations of projective Boolean algebras: openly generated Boolean algebras and tightly σ-filtered Boolean algebras.We show that for every uncountable regular cardinal κ there are 2κ pairwise non-isomorphic openly generated Boolean algebras of size κ > ℵ1 provided there is an almost free non ...
Geschke, Stefan, Shelah, Saharon
openaire   +4 more sources

Generalized Ideals and Co-Granular Rough Sets

, 2017
Lattice-theoretic ideals have been used to define and generate non granular rough approximations over general approximation spaces over the last few years by few authors.
Mani, A
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Radical classes of generalized Boolean algebras [PDF]

Czechoslovak Mathematical Journal, 1998
We say that a lattice \(L\) with smallest element \(0\) is a generalized Boolean algebra if for every \(x\in L\) the interval \([0,x]\) of \(L\) is a Boolean algebra. A class \(\mathcal A\) of generalized Boolean algebras is called a radical class if it satisfies: \(\mathcal A\) is closed under isomorphisms; if \(A\in \mathcal A\) then every convex ...
openaire   +2 more sources

e-Subalgebras and e-Homomorphisms of PGK2-Algebras

Journal of Mathematics
This paper is devoted for three main purposes. First, subalgebras, e-subalgebras of a principal generalized K2-algebra (PGK2-algebra), and their associated principal generalized K2-triples are studied. We prove that every GM-subalgebra, GK-subalgebra, De
Abd El-Mohsen Badawy, Essam El-Seidy, Mohiedeen Ahmed, Ahmed Gaber   +3 more
doaj   +1 more source

"It from bit" and the quantum probability rule [PDF]

, 2014
I argue that, on the subjective Bayesian interpretation of probability, "it from bit" requires a generalization of probability theory. This does not get us all the way to the quantum probability rule because an extra constraint, known as noncontextuality,
Leifer, M. S.
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Changing a semantics: opportunism or courage?

, 2014
The generalized models for higher-order logics introduced by Leon Henkin, and their multiple offspring over the years, have become a standard tool in many areas of logic.
A. Chagrov, A. Gil-Luezas, A. Mann, A. Mostowski, A. Pasztor, B. Davey, B. Ganter, B. Jónsson, B. ten Cate, D. Cantone, D. Gallin, D. Harel, D. Hilbert, D. Kozen, E. Bishop, E. Lopez-Escobar, G. Bezhanishvili, G. Sambin, H. Andréka, H. Andréka, H. Andréka, H. Andréka, H. Enderton, H.-D. Ebbinghaus, H.A. Priestley, H.A. Priestley, I. Walukiewicz, J. Akkanen, J. Barwise, J. Barwise, J. Barwise, J. Benthem van, J. Benthem van, J. Benthem van, J. Benthem van, J. Benthem van, J. Benthem van, J. Benthem van, J. Hintikka, J. Madarász, J. Väänänen, J. Väänänen, J. Väänänen, K. Kunen, L. Csirmaz, L. Esakia, L. Henkin, L. Henkin, L. Henkin, L. Henkin, L. Henkin, L. Henkin, L. Henkin, L. Henkin, L. Humberstone, L. Santocanale, L. Santocanale, M. Dunn, M. Dunn, M. Gehrke, M. Kracht, M. Manzano, M. Manzano, M.O. Rabin, N. Bezhanishvili, N. Bezhanishvili, N. Galatos, P. Blackburn, P. Hájek, R. Kaye, R. Montague, R.L. Vaught, S. Ambler, S. Feferman, S. Simpson, S.K. Thomason, T. Gergely, T. Hyttinen, V. Marra, V. Stebletsova, W. Blok, W. Holliday, W. Walkoe, Y. Venema, Y. Venema   +84 more
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Torsion classes of generalized Boolean algebras

Mathematica Slovaca, 2012
Abstract Torsion classes and radical classes of lattice ordered groups have been investigated in several papers. The notions of torsion class and of radical class of generalized Boolean algebras are defined analogously. We denote by T g and R g the collections of all torsion classes or of ...
openaire   +2 more sources

A maximal Riesz-Kantorovich theorem with applications to markets with an arbitrary commodity set

Математичні Студії
By analyzing proofs of the classical Riesz-Kantorovich theorem, the Mazón-Segura de León theorem on abstract Uryson operators and the Pliev-Ramdane theorem on C-bounded orthogonally additive operators on Riesz spaces, we find the most general (to our ...
M. M. Popov, O. Z. Ukrainets
doaj   +1 more source

Łukasiewicz-Moisil Many-Valued Logic Algebra of Highly-Complex Systems [PDF]

, 2010
A novel approach to self-organizing, highly-complex systems (HCS), such as living organisms and artificial intelligent systems (AIs), is presented which is relevant to Cognition, Medical Bioinformatics and Computational Neuroscience.
Baianu, Professor I.C., Georgescu, Professor George, Glazebrook, Professor James F.   +2 more
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