Results 1 to 10 of about 186,981,866 (59)

Reticulation of a quantale, pure elements and new transfer properties [PDF]

Fuzzy Sets and Systems, 2022
We know from a previous paper that the reticulation of a coherent quantale $A$ is a bounded distributive lattice $L(A)$ whose prime spectrum is homeomorphic to $m$ - prime spectrum of $A$. In this paper we shall prove several results on the pure elements of the quantale $A$ by means of the reticulation $L(A)$. We shall investigate how the properties of
exaly   +3 more sources

Lifting Elements in Coherent Quantales [PDF]

Transactions on Fuzzy Sets and Systems, 2022
An ideal I of a ring R is a lifting ideal if the idempotents of R can be lifted modulo I. A rich literature has been dedicated to lifting ideals. Recently, new algebraic and topological results on lifting ideals have been discovered.
George Georgescu
doaj   +1 more source

New characterization theorems of the mp-quantales [PDF]

Journal of Fuzzy Extension and Applications, 2021
The mp-quantales were introduced in a previous paper as an abstraction of the lattices of ideals in mp-rings and the lattices of ideals in conormal lattices. Several properties of m-rings and conormal lattices were generalized to mp-quantales.
George Georgescu
doaj   +1 more source

Basic Concepts of Quantale-Enriched Topologies

Applied Categorical Structures, 2021
The categorical framework for our axioms of quantale-enriched topologies is the theory of modules in the monoidal category Sup and its free right modules generated by power sets.
Javier Gutierrez Garcia, Tomasz Kubiak, Ulrich Hohle   +2 more
exaly   +2 more sources

A theory of quantale-enriched dcpos and their topologization [PDF]

Fuzzy Sets and Systems, 2022
There have been developed several approaches to a quantale-valued quantitative domain theory. If the quantale Q is integral and commutative, then Q-valued domains are Q-enriched, and every Q-enriched domain is sober in its Scott Q-valued topology ...
Javier Gutierrez Garcia, Tomasz Kubiak, Ulrich Hohle   +2 more
exaly   +2 more sources

Quantale-valued dissimilarity

Fuzzy Sets and Systems, 2020
Hongliang Lai, Lili Shen, Dexue Zhang
exaly  

Sobriety of quantale-valued cotopological spaces

Fuzzy Sets and Systems, 2018
Dexue Zhang
exaly  

A non-commutative and non-idempotent theory of quantale sets

Fuzzy Sets and Systems, 2011
Tomasz Kubiak, Ulrich Hohle
exaly  

A categorical characterization of the least Q-quantale completion of Q-ordered semigroups

Fuzzy Sets and Systems, 2020
Changchun Xia
exaly  

Quantale-valued preorders: Globalization and cocompleteness

Fuzzy Sets and Systems, 2014
Hongliang Lai, Dexue Zhang
exaly