Results 11 to 20 of about 3,307 (195)
Duality for finite Hilbert algebras
Discrete Mathematics, 2005 In this work we shall give a characterization of the Hilbert algebras given by the order and we will prove a duality for finite Hilbert algebras by means of finite ordered sets endowed with a distinguished set of subsets. We will also study the case when
Sérgio A Celani, Leonardo Manuel Cabrer
exaly +4 more sources
Hilbert Algebras with Hilbert–Galois Connections
Studia Logica, 2023 In this paper we introduce Hilbert algebras with Hilbert–Galois connections (HilGC-algebras) and we study the Hilbert–Galois connections defined in Heyting algebras, called HGC-algebras. We assign a categorical duality between the category HilGC-algebras
Montangie, Daniela +1 more
core +3 more sources
On frontal operators in Hilbert algebras [PDF]
Logic Journal of IGPL, 2015 In this article, we introduce and study a family of compatible functions in Hilbert algebras which in the case of Heyting algebras agree with the frontal operators given by Esakia (2006, J. Appl. Non-Class. Log., 16, 349–366).
San Martin, Hernan Javier +1 more
core +3 more sources
Hilbert 90 for algebras with conjugation [PDF]
Algebras and Representation Theory, 2012 We show a version of Hilbert 90 that is valid for a large class ofalgebras many of which are not commutative, distributive orassociative. This class contains the n:th iteration of theConway-Smith doubling procedure.
Lundström, Patrik,
core +4 more sources
Hilbert Algebras of Fractions [PDF]
International Journal of Mathematics and Mathematical Sciences, 2009 Let be a bounded Hilbert algebra and a ∨-closed subset of . The Hilbert algebra of fractions is studied regarding maximal and irreducible deductive systems.
Christina-Theresia Dan
core +4 more sources
Prelinear Hilbert algebras [PDF]
Fuzzy Sets and Systems, 2019 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.
San Martín, Hernán Javier +2 more
core +4 more sources
Tensor Products of Hilbert Modules Over Locally C *-Algebras [PDF]
Czechoslovak Mathematical Journal, 2004 summary:In this paper the tensor products of Hilbert modules over locally $C^{*}$-algebras are defined and their properties are studied. Thus we show that most of the basic properties of the tensor products of Hilbert $C^{*}$-modules are also valid in ...
Maria Joita, Joita Maria
exaly +2 more sources
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
N. Rajesh +3 more
core +3 more sources
Fuzzy Ideal of Hilbert Algebras in BCK-Algebras
Applied Mechanics and Materials, 2011 In [1] it gives an ideal of Hilbert Algebras in BCK-algebras, as well as some propositions. So in this paper, we will give a fuzzy Ideal of Hilbert Algebras in BCK-algebras and it’s propositions.
Dian Chuan Jin +2 more
exaly +2 more sources
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
core +3 more sources