Results 1 to 10 of about 440 (144)
A duality for two-sorted lattices [PDF]
Soft Computing, 2021 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Umberto Rivieccio +2 more
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Priestley Duality for Strong Proximity Lattices
Electronic Notes in Theoretical Computer Science, 2006 AbstractIn 1937 Marshall Stone extended his celebrated representation theorem for Boolean algebras to distributive lattices. In modern terminology, the representing topological spaces are zero-dimensional stably compact, but typically not Hausdorff. In 1970, Hilary Priestley realised that Stone's topology could be enriched to yield order-disconnected ...
Mohamed A El-Zawawy, Achim Jung
exaly +2 more sources
On L-fuzzy ideals of multilattices [PDF]
Journal of Hyperstructures, 2023 For a given multilattice M, the set ℑM of all ideals of M is a complete lattice and for a given complete lattice L, the set FI(M;L) of all L-fuzzy ideals ofMis also a complete lattice.
Daquin Cdric Awouafack +2 more
doaj +1 more source
Natural and restricted Priestley duality for ternary algebras and their cousins [PDF]
Categories and General Algebraic Structures with Applications, 2022 Up to term equivalence, there are three ways to assign a nonemptyset C of constants to the three-element Kleene lattice, leading toternary algebras (C = {0, d, 1}), Kleene algebras (C = {0, 1}), and don’tknow algebras (C = {d}).
Brian Davey, Stacey Mendan
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Distributive lattices with strong endomorphism kernel property as direct sums [PDF]
Categories and General Algebraic Structures with Applications, 2020 Unbounded distributive lattices which have strong endomorphism kernel property (SEKP) introduced by Blyth and Silva in [3] were fully characterized in [11] using Priestley duality (see Theorem 2.8}). We shall determine the structure of special elements (
Jaroslav Gurican
doaj +1 more source
Categorical Dualities for Some Two Categories of Lattices: An Extended Abstract
Bulletin of the Section of Logic, 2022 The categorical dualities presented are: (first) for the category of bi-algebraic lattices that belong to the variety generated by the smallest non-modular lattice with complete (0,1)-lattice homomorphisms as morphisms, and (second) for the category of ...
Wiesław Dziobiak, Marina Schwidefsky
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Dualities for subresiduated lattices [PDF]
Algebra universalis, 2021 A subresiduated lattice is determined by a bounded lattice \(L\) together with a bounded sublattice \(D\leq L\) where \(D\) has the property that for every \(a, b\in L\) there is a largest \(c\in D\) such that \(c\wedge a\leq b\). One writes \(a\to b\) for this \(c\).
Celani, Sergio Arturo +2 more
openaire +3 more sources
Narain CFTs from qudit stabilizer codes
SciPost Physics Core, 2023 We construct a discrete subset of Narain CFTs from quantum stabilizer codes with qudit (including qubit) systems whose dimension is a prime number. Our construction exploits three important relations.
Kohki Kawabata, Tatsuma Nishioka, Takuya Okuda
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Space-Dependent Symmetries and Fractons
Frontiers in Physics, 2022 There has been a surge of interest in effective non-Lorentzian theories of excitations with restricted mobility, known as fractons. Examples include defects in elastic materials, vortex lattices or spin liquids.
Kevin T. Grosvenor +5 more
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Topological duality for orthomodular lattices
Mathematical Logic Quarterly, 2023 AbstractA class of ordered relational topological spaces is described, which we call orthomodular spaces. Our construction of these spaces involves adding a topology to the class of orthomodular frames introduced by Hartonas, along the lines of Bimbó's topologization of the class of orthoframes employed by Goldblatt in his representation of ...
Joseph McDonald, Katalin Bimbó
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