Results 1 to 10 of about 690 (191)
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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Duality for finite Hilbert algebras
Discrete Mathematics, 2005 The authors provide a duality for finite Hilbert algebras by means of finite ordered sets endowed with a distinguished family of subsets. They also study the case in which the finite Hilbert algebras are join-semilattices or meet-semilattices.
Sérgio A Celani, Leonardo Cabrer
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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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Hilbert 90 for Algebras with Conjugation [PDF]
Algebras and Representation Theory, 2010 We show a version of Hilbert 90 that is valid for a large class of algebras many of which are not commutative, distributive or associative. This class contains the nth iteration of the Conway-Smith doubling procedure. We use our version of Hilbert 90 to parametrize all solutions in ordered fields to the norm one equation for such algebras.
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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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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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Some Properties of $ ast $-frames in Hilbert Modules Over Pro-C*-algebras [PDF]
Sahand Communications in Mathematical Analysis, 2019 In this paper, by using the sequence of adjointable operators from pro-C*-algebra $ mathcal{A} $ into a Hilbert $ mathcal{A} $-module $ E $. We introduce frames with bounds in pro-C*-algebra $ mathcal{A} $.
Mona Naroei Irani, Akbar Nazari
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Quasi-Algebras versus Regular Algebras - Part I [PDF]
Scientific Annals of Computer Science, 2015 Starting from quasi-Wajsberg algebras (which are generalizations of Wajsberg algebras), whose regular sets are Wajsberg algebras, we introduce a theory of quasi-algebras versus, in parallel, a theory of regular algebras.
A. Iorgulescu
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