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A Categorical Duality for Semilattices and Lattices
Applied Categorical Structures, 2020zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Luciano Javier Gonzalez +2 more
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Duality Results for (Co)Residuated Lattices
Logica Universalis, 2018zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Chrysafis Hartonas, Hartonas Chrysafis
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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
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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
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Distributive Lattices with a Generalized Implication: Topological Duality
Order, 2010In 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.
Ramon Jansana, Jansana Ramon
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Duality for Random Sequential Adsorption on a Lattice
Combinatorics, Probability and Computing, 1992If 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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The duality of distributive σ-continuous lattices
Canadian Journal of Mathematics, 1980Various aspects of the prime spectrum of a distributive continuous lattice have been discussed extensively in Hofmann-Lawson [7]. This note presents a perhaps optimally direct and self-contained proof of one of the central results in [7] (Theorem 9.6), the duality between distributive continuous lattices and locally compact sober spaces, and then shows
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Lattice subordinations and Priestley duality
Algebra universalis, 2013The 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, 1996The 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, 1990zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ralph-Johan Back, Joakim von Wright
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