Results 251 to 260 of about 1,092 (279)

Stone duality for lattices

Algebra Universalis, 1997
To every lattice \(L\) one can assign a triple \((X_L, \perp , Y_L)\), where \(X_L\) and \(Y_L\) are the spaces of all ideals or of all filters of \(L\) and \(\perp \) is a binary relation between \(X_L\) and \(Y_L\). It was proven by \textit{R. I. Goldblatt} [Bull. Lond. Math. Soc.
Chrysafis Hartonas
exaly   +2 more sources

Distributive Lattices with a Generalized Implication: Topological Duality

Order, 2010
In this paper the authors introduce and study the class of bounded distributive lattices endowed with a binary function \(\Rightarrow \), called generalized implication, as a common abstraction of the notions of annihilator [\textit{M. Mandelker}, Duke Math. J. 37, 377--386 (1970; Zbl 0206.29701)], quasi-modal algebras [\textit{S. Celani}, Math. Bohem.
Sérgio A Celani, Ramon Jansana, Jansana Ramon   +2 more
exaly   +2 more sources

A simplified duality for implicative lattices and l-groups

Studia Logica, 1996
A distributive lattice is an implicative lattice if besides the usual lattice-theoretic operations of meet and join, an auxiliary operation, the implication \(\to\), is given which is subject to equational conditions, like \(x\to (y\wedge y')= (x\to y)\wedge(x\to y')\), that generalize in an obvious way the Boolean case where \(x\to y=\neg x\vee y ...
exaly   +2 more sources

On the duality of Dunford-Pettis operators on Banach lattices

Czechoslovak Mathematical Journal
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Aqzzouz, Belmesnaoui, Elbour, Aziz, Aboutafail, Othman   +2 more
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Disjointly homogeneous Banach lattices: Duality and complementation

Journal of Functional Analysis, 2014
We study several properties of disjointly homogeneous Banach lattices with a special focus on two questions: the self-duality of this class and the existence of disjoint sequences spanning complemented subspaces. Various results around these problems are
Julio Flores, Pedro Tradacete, V G Troitsky   +2 more
exaly   +2 more sources

Duality for Random Sequential Adsorption on a Lattice

Combinatorics, Probability and Computing, 1992
If particles are dropped randomly on a lattice, with a placement being cancelled if the site in question or a nearest neighbor is already occupied, an ensemble of restricted random walks is created. We seek the time dependence of the expected occupation of a given site.
Y. Fan, Jerome K. Percus
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Lattice subordinations and Priestley duality

Algebra universalis, 2013
The paper deals with possible extension of the known correspondence between Heyting algebras and S4-algebras to distributive lattices. For this, the author uses an appropriate analogue of S4-algebras which defines by means of binary relations lattice subordinations.
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TIME-REVERSAL DUALITY AND PLANAR LATTICE DUALITY IN NON-EQUILIBRIUM LATTICE MODELS

Fractals, 1996
The contact process (CP) is a simple mathematical model for the spread of infection of a contagious disease. Though it has only nearest-neighbor interactions, phase transitions occur even in the one-dimensional system and non-equilibrium stationary states appear in supercritical phase. This implies violation of detailed balance. The appearance of such
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Duality in specification languages: a lattice-theoretical approach

Acta Informatica, 1990
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Ralph-Johan Back, Joakim von Wright
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Dualities between complete lattices

Optimization, 1990
We study dualities between two complete lattices Eand Fi.e., mappings △:E→ F satisfying for all {x i } ieI ⊆E and all index sets I including the empty set I = O. We give characterizations and representations of dualities △, and some results on the dual △* F→Eof △ and on the associated hull operator △*△:E→Ein the general case and in various particular ...
J.E. Martinez-Legaz, I. Singer
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