Results 261 to 270 of about 1,092 (279)

Priestley duality for some subalgebra lattices

Studia Logica, 1996
The author characterizes Heyting algebras with a modular congruence lattice. His investigations are carried out within the Priestley space \(X\) of such algebras. The author also looks at Heyting algebras with complemented congruence or subalgebra lattices. For example, for finite Heyting spaces \(X\), \(\text{Con} (X)\) is complemented if and only if \
openaire   +2 more sources

Free Modal Lattices via Priestley Duality

Studia Logica, 2002
A modal lattice \(L\) is an algebra \(L=(L;\vee, \wedge,j,0, 1)\), where \((L;\vee, \wedge,0,1)\) is a bounded distributive lattice and \(j\) is a unary operation satisfying the following identities: (i) \(x\leq j(x)\), (ii) \(j(x)= j(j(x))\) and (iii) \(j(x\wedge y)=j(x) \wedge j(y)\).
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Duality in Lattice Implication Algebra

2011
According to the general form of principle of duality in the sense of class [1], this paper tries to study the dual operators of operators in lattice implication algebra [2], especially the dual operator of implication operator and gives the expression of principle of duality in lattice implication algebra.
Li Zhao, Yang Xu
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Atomistic Symmetric Lattices with Duality

1970
A lattice L with 0 and 1 is called a DAC-lattice when both L and its dual L* are AC-lattices, that is, atomistic lattices with the covering property. If L is a DAC-lattice then so is L* evidently.
Fumitomo Maeda, Shûichirô Maeda
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Topological Duality for Distributive Lattices

Introducing Stone–Priestley duality theory and its applications to logic and theoretical computer science, this book equips graduate students and researchers with the theoretical background necessary for reading and understanding current research in the area.
Gehrke, Mai, van Gool, Sam
openaire   +1 more source

Choice-free topological duality for implicative lattices and Heyting algebras

Algebra Universalis, 2023
Chrysafis Hartonas, Hartonas Chrysafis
exaly  

Symmetry of the phononic landscape of twisted kagome lattices across the duality boundary

Physical Review B, 2020
Stefano Gonella
exaly  

Modules with fusion and implication based over distributive lattices: Representation and duality

Mathematica Slovaca, 2022
Ismael Calomino
exaly  

Distributive Envelopes and Topological Duality for Lattices via Canonical Extensions

Order, 2013
Mai Gehrke, Samuel J van Gool, Gehrke Mai   +2 more
exaly  

Duality of the Existence of Localized Modes (Low- and High-Frequency Modes) in Pure Nonlinear Lattices –Sine Lattices, Discrete Sine-Gordon Lattices, the Ablowitz-Ladik Lattices and One-Dimensional Lattices with Quartic Anharmonicity–

Journal of the Physical Society of Japan, 1995
Shozo Takeno, Takeno Shozo
exaly