Results 31 to 40 of about 305 (70)

Enriched Stone-type dualities [PDF]

, 2017
A common feature of many duality results is that the involved equivalence functors are liftings of hom-functors into the two-element space resp. lattice.
Hofmann, Dirk, Nora, Pedro
core   +2 more sources

Modular Lattice Generated by Fuzzy Implicationl

, 2016
Background Objective: Lattice has been used in mathematics in 18th century. Modular lattice is one of the most important types of lattice. In18 Michal and Drewniak define a lattice which is generated by fuzzy implication.
Priyanka Singh, A. Banerjee, P. Jha
semanticscholar   +1 more source

Dualities for modal algebras from the point of view of triples [PDF]

, 2015
In this paper we show how the theory of monads can be used to deduce in a uniform manner several duality theorems involving categories of relations on one side and categories of algebras with homomorphisms preserving only some operations on the other ...
A. Petrovich, A. Stralka, B. Jónsson, B. Jónsson, C. Kupke, D. Hofmann, D. Pumplün, D. Pumplün, Dirk Hofmann, F.B. Wright, G. Sambin, H. Poppe, H. Simmons, H.A. Priestley, H.A. Priestley, J. Lawson, J.W. Negrepontis, L. Vietoris, M.H. Stone, M.M. Bonsangue, P.R. Halmos, Pedro Nora, R. Cignoli, S. Celani, W. Tholen   +24 more
core   +1 more source

ADJACENCY IN THE LATTICE OF \u{C}ECH CLOSURE OPERATORS

, 2015
In this paper we investigate the adjacency relations in the lattice of Cech closure operators on a fixed set with special reference to T1 Cech closure operators. The existence of upper and lower neighbours of some Cech closure operators are demonstrated.
M. Kunheenkutty, T. Kavitha, P. Ramachandran   +2 more
semanticscholar   +1 more source

New topology in residuated lattices

Open Mathematics, 2018
In this paper, by using the notion of upsets in residuated lattices and defining the operator Da(X), for an upset X of a residuated lattice L we construct a new topology denoted by τa and (L, τa) becomes a topological space.
Holdon L.C.
doaj   +1 more source

f-Fixed Points of Isotone f-Derivations on a Lattice

Discussiones Mathematicae - General Algebra and Applications, 2019
In a recent paper, Çeven and Öztürk have generalized the notion of derivation on a lattice to f-derivation, where f is a given function of that lattice into itself.
Zedam Lemnaouar, Yettou Mourad, Amroune Abdelaziz   +2 more
doaj   +1 more source

UPPER APPROXIMATION OPERATORS INDUCED BY ALEXANDROV FUZZY TOPOLOGIES

, 2014
In this paper, we investigate the properties of upper approximation operators induced by Alexandrov fuzzy topologies in complete residuated lattices. We give their examples.
Yong Chan Kim
semanticscholar   +1 more source

Spherical designs from norm-3 shell of integral lattices

, 2009
A set of vectors all of which have a constant (non-zero) norm value in an Euclidean lattice is called a shell of the lattice. Venkov classified strongly perfect lattices of minimum 3 (R\'{e}seaux et "designs" sph\'{e}rique, 2001), whose minimal shell is ...
Shigezumi, Junichi
core   +1 more source

Some notes on Esakia spaces [PDF]

, 2014
Under Stone/Priestley duality for distributive lattices, Esakia spaces correspond to Heyting algebras which leads to the well-known dual equivalence between the category of Esakia spaces and morphisms on one side and the category of Heyting algebras and ...
Dedicated To Manuela Sobral, Dirk Hofmann, Pedro Nora   +2 more
core  

SOLUTIONS OF FUZZY RELATION EQUATIONS IN GENERALIZED RESIDUATED LATTICES

, 2014
In this paper, we investigate solutions of various types of fuzzy relation equations Ai ◦ R = Bi, R ◦ Ai = Bi, Ai ⇒ R = Bi and Ai → R = Bi in generalized residuated lattice. We give also some examples.
Y. C. Kim
semanticscholar   +1 more source