Results 111 to 120 of about 1,450 (155)
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Robust Topology and the Hausdorff-Smyth Monad on Metric Spaces over Continuous Quantales

arXiv.org
We define a (preorder-enriched) category $\mathsf{Met}$ of quantale-valued metric spaces and uniformly continuous maps, with the essential requirement that the quantales are continuous. For each object $(X,d,Q)$ in this category, where $X$ is the carrier
Francesco Dagnino   +2 more
semanticscholar   +1 more source

Morita theory for quantales

Journal of Algebra
Morita theory for quantales is developed. The main result of the paper is a characterization of those quantaloids (categories enriched in the symmetric monoidal closed category of sup-lattices) that are equivalent to modular categories over quantales ...
B. Mesablishvili
semanticscholar   +1 more source

Foulis Quantales and Complete Orthomodular Lattices

European Society for Fuzzy Logic and Technology
Our approach establishes a natural correspondence between complete orthomodular lattices and certain types of quantales. Firstly, given a complete orthomodular lattice X, we associate with it a Foulis quantale Lin(X) consisting of its endomorphisms. This
M. Botur, Jan Paseka, Richard Smolka
semanticscholar   +1 more source

Quantales: Bridging Realms with Quantum Generative Adversarial Networks and Transformers in Educational Content Creation

2025 International Conference on Intelligent and Innovative Technologies in Computing, Electrical and Electronics (IITCEE)
Traditional teaching methods in Indian schools often lack engaging elements, hindering students’ full comprehension of concepts and fostering a tendency to memorize rather than understand.
Meeradevi   +3 more
semanticscholar   +1 more source

Primitive quantales

Journal of Algebra and its Applications
In this paper, we generalize Jacobson’s notion of primitive ring to the setting of quantales. We show that every primitive ring gives rise to a primitive quantale of ideals. We then prove a density theorem for strongly primitive quantales.
Elena Caviglia   +2 more
semanticscholar   +1 more source

Quantales and structural rules

Journal of Logic and Computation, 1996
A commutative quantale is a complete lattice ordering \(\leq\) together with a commutative and associative binary operation \(\otimes\) that distributes over arbitrary supremums. Let \(a \multimap b\) be the supremum of those \(q\) such that \(a\otimes q\leq b\).
PIAZZA, Mario, Castellan, Maurizio
openaire   +4 more sources

The relationship between quantal content and delayed quantal release

NeuroReport, 1995
Following an endplate potential there is a period of elevated spontaneous quantal release, known as delayed release. We have estimated the relationship between evoked quantal release and delayed release in two ways. First, in a solution in which the Na+ was replaced with methylamine, the number of delayed release evoked by electronic depolarization of ...
W, Van der Kloot, J, Molgó
openaire   +2 more sources

The d-elements of precoherent preidempotent quantales and their applications

Logic Journal of the IGPL
In this paper, we introduce the notion of d-elements on precoherent preidempotent quantale (PIQ), construct Zariski topology on $Max(Q_{d})$ and explore its various properties. Firstly, we give a sufficient condition of a topological space $Max(Q_{d})$
Xianglong Ruan
semanticscholar   +1 more source

Triangle functions generated by tensor products of quantales

Fuzzy Sets Syst.
This paper investigates triangle functions induced by tensor products of triangular norms and conorms. For any left continuous t-norm $T$ on $[0,1]$ and any right continuous t-conorm $L$ on $[0,\infty]$, the tensor product $L\otimes T$ induces a triangle
Hongliang Lai, Qingzhu Luo
semanticscholar   +1 more source

Quantale-Valued Uniformizations of Quantale-Valued Generalizations of Approach Groups

New Mathematics and Natural Computation, 2019
We introduce the categories of quantale-valued approach uniform spaces and quantale-valued uniform gauge spaces, and prove that they are topological categories. We first show that the category of quantale-valued uniform gauge spaces is a full bireflective subcategory of the category of quantale-valued approach uniform spaces and; second, we prove that ...
T. M. G. Ahsanullah, Gunther Jäger
openaire   +1 more source

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