Results 11 to 20 of about 64,148 (170)
On quaternionic functional analysis [PDF]
, 2006 In this article, we will show that the category of quaternion vector spaces, the category of (both one-sided and two sided) quaternion Hilbert spaces and the category of quaternion $B^*$-algebras are equivalent to the category of real vector spaces, the ...
Agrawal +17 more
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Fuzzy Subalgebras and Ideals With Thresholds of Hilbert Algebras
International Journal of Analysis and Applications, 2022 The concepts of fuzzy subalgebras and ideals with thresholds of Hilbert algebras are presented, some of their features are explained, and their extensions are demonstrated using the theory of fuzzy sets as a foundation. We also talk about the connections
Aiyared Iampan +3 more
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Duality for Hilbert algebras with supremum: An application [PDF]
Mathematica Bohemica, 2017 We modify slightly the definition of $H$-partial functions given by Celani and Montangie (2012); these partial functions are the morphisms in the category of $H^\vee$-space and this category is the dual category of the category with objects the Hilbert ...
Hernando Gaitán
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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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The Hilbert series of algebras of Veronese type [PDF]
, 2004 This paper gives a fairly explicit formula for the Hilbert series of algebras of Veronese ...
Katzman, M.
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On Implicative and Positive Implicative GE Algebras
Bulletin of the Section of Logic, 2023 GE algebras (generalized exchange algebras), transitive GE algebras (tGE algebras, for short) and aGE algebras (that is, GE algebras verifying the antisymmetry) are a generalization of Hilbert algebras. Here some properties and characterizations of these
Andrzej Walendziak
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Central Charge Extended Supersymmetric Structures for Fundamental Fermions Around non-Abelian Vortices [PDF]
, 2014 Fermionic zero modes around non-abelian vortices are shown that they constitute two $N=2$, $d=1$ supersymmetric quantum mechanics algebras. These two algebras can be combined under certain circumstances to form a central charge extended $N=4 ...
Kleidis, K., Oikonomou, V. K.
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A note on homomorphisms of Hilbert algebras
International Journal of Mathematics and Mathematical Sciences, 2002 We give a representation theorem for Hilbert algebras by means of ordered sets and characterize the homomorphisms of Hilbert algebras in terms of applications defined between the sets of all irreducible deductive systems of the associated algebras.
Sergio Celani
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Discussiones Mathematicae - General Algebra and Applications, 2022 In this paper we introduce Sheffer stroke BE-algebras (briefly, SBE-algebras) and investigate a relationship between SBE-algebras and BE-algebras. By presenting a SBE-filter, an upper set and a SBE-subalgebra on a SBE-algebra, it is shown that any SBE ...
Katican Tugce +2 more
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On Fuzzy Deductive Systems of Hilbert Algebras
Journal of Mathematics, 2020 In this paper, we study fuzzy deductive systems of Hilbert algebras whose truth values are in a complete lattice satisfying the infinite meet distributive law.
Gezahagne Mulat Addis +1 more
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