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Hilbert Implication Algebra and Some Properties [PDF]
Journal of Applied Mathematics, 2021 The concepts of Hilbert implication algebra and generalized Hilbert implication algebra are introduced. The comparison theorem of Hilbert implication algebra and generalized Hilbert implication algebra is proved.
Dejen Gerima Tefera
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Hilbert Algebras of Fractions [PDF]
International Journal of Mathematics and Mathematical Sciences, 2009 Let 𝐴 be a bounded Hilbert algebra and 𝑆 a ∨-closed subset of 𝐴. The Hilbert algebra of fractions 𝐴𝑆 is studied regarding maximal and irreducible deductive systems.
Christina-Theresia Dan
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Relation Between Be-Algebras and G-Hilbert Algebras
Discussiones Mathematicae - General Algebra and Applications, 2018 Hilbert algebras are important tools for certain investigations in algebraic logic since they can be considered as fragments of any propositional logic containing a logical connective implication and the constant 1 which is considered as the logical ...
Rezaei Akbar, Saeid Arsham Borumand
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Derivations of Hilbert Algebras
International Journal of Analysis and Applications, 2023 In this paper, we introduce the notions of (l, r)-derivations, (r, l)-derivations, and derivations of Hilbert algebras and investigate some related properties. In addition, we define two subsets for a derivation d of a Hilbert algebra X, Ker d(X) and Fix
Aiyared Iampan +3 more
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Relation between Sheffer Stroke and Hilbert algebras [PDF]
Categories and General Algebraic Structures with Applications, 2021 In this paper, we introduce a Sheffer stroke Hilbert algebra by giving definitions of Sheffer stroke and a Hilbert algebra. After it is shown that the axioms of Sheffer stroke Hilbert algebra are independent, it is given some properties of this algebraic
Tahsin Oner +2 more
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Linear algebra and differential geometry on abstract Hilbert space
International Journal of Mathematics and Mathematical Sciences, 2005 Isomorphisms of separable Hilbert spaces are analogous to isomorphisms of n-dimensional vector spaces. However, while n-dimensional spaces in applications are always realized as the Euclidean space Rn, Hilbert spaces admit various useful realizations as ...
Alexey A. Kryukov
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Prelinear Hilbert algebras [PDF]
Fuzzy Sets and Systems, 2020 In this paper we give an explicit description of the left adjoint of the forgetful functor from the algebraic category of Gödel algebras (i.e., prelinear Heyting algebras) to the algebraic category of bounded prelinear Hilbert algebras. We apply this result in order to study possible descriptions of the coproduct of two finite algebras in the algebraic
José Luis Castiglioni +2 more
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Bulletin of the Section of Logic, 2021 Hilbert algebras are important tools for certain investigations in intuitionistic logic and other non-classical logic and as a generalization of Hilbert algebra a new algebraic structure, called a GE-algebra (generalized exchange algebra), is introduced ...
Ravikumar Bandaru +2 more
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On Fréchet–Hilbert algebras [PDF]
Archiv der Mathematik, 2014 We consider Hilbert algebras with a supplementary Fréchet topology and get various extensions of the algebraic structure by using duality techniques. In particular we obtain optimal multiplier-type involutive algebras, which in applications are large enough to be of significant practical use. The setting covers many situations arising from quantization
Măntoiu, M., Purice, R.
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ALGEBRA OF QUOTIENTS WITH BOUNDED EVALUATION FOR SOME OPERATOR ALGEBRAS [PDF]
مجلة التربية والعلم, 2005 In this paper, we find the algebra of quotients with bounded evaluation for operator algebras on a complex Hilbert space, namely: Hilbert - Schmidt and trace -class operators. Also, we study the behavior in computing the algebra of quotients with bounded
Amir A.Mohammad
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