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Hilbert Algebras with Hilbert–Galois Connections
Studia Logica, 2022zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Sergio A. Celani, Daniela Montangie
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On Hilbert algebras generated by the order
Archive for Mathematical Logic, 2021zbMATH Open Web Interface contents unavailable due to conflicting licenses.
José L. Castiglioni +2 more
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On the free implicative semilattice extension of a Hilbert algebra [PDF]
Mathematical Logic Quarterly, 2012 Hilbert algebras provide the equivalent algebraic semantics in the sense of Blok and Pigozzi to the implication fragment of intuitionistic logic. They are closely related to implicative semilattices.
Sérgio A Celani, Ramon Jansana
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On the Hilbert Evolution Algebras of a Graph
Siberian Mathematical Journal, 2022A separable Hilbert evolution algebra is a separable Hilbert space \(\mathcal{A}\) endowed with an algebra structure so that there exists an orthonormal basis \(\{e_i\}_{i\in\mathbb{N}}\) such that \begin{itemize} \item[i)] \(e_ie_i=\sum_{k\in\mathbb{N}}c_{ki}e_k\), for some scalars \(\{c_{ik}\}_{k\in\mathbb{N}}\), and \(e_ie_j=0\), for all \(i,j\in ...
Vidal, S. J. +2 more
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Journal of Intelligent & Fuzzy Systems, 2015
In this paper, we first introduce the notion of Stonean implicative filter in Hilbert algebra and study it in detail. Finally, we introduce a Stonean Hilbert algebra and investigate its properties, we prove that, H is a Stonean Hilbert algebra if and only if the set of all regular elements of
Ali Soleimani Nasab +1 more
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In this paper, we first introduce the notion of Stonean implicative filter in Hilbert algebra and study it in detail. Finally, we introduce a Stonean Hilbert algebra and investigate its properties, we prove that, H is a Stonean Hilbert algebra if and only if the set of all regular elements of
Ali Soleimani Nasab +1 more
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On prelinear Hilbert algebras with successor
Fuzzy Sets and Systems, 2020zbMATH Open Web Interface contents unavailable due to conflicting licenses.
José Luis Castiglioni +1 more
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Studia Logica, 2010
In this paper we develop a theory of Bosbach and Riecan states on non-trivial Hilbert algebras.
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In this paper we develop a theory of Bosbach and Riecan states on non-trivial Hilbert algebras.
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