Sobriety and spatiality in varieties of algebras

Authors:
Sergey A. Solovyov
Affiliations:
Department of Mathematics, University of Latvia, Zellu iela 8, LV - 1002 Riga, Latvia
Venue:
Fuzzy Sets and Systems
Year:
2008

Citing 6
Cited 11

Fuzzy topologies and topological space objects in a topos

Fuzzy Sets and Systems
The epireflective hull of the Sierpinski object in FTS

Fuzzy Sets and Systems
Point-set lattice-theoretic topology

Fuzzy Sets and Systems - Special memorial volume on mathematical aspects of fuzzy set theory
Applications of localic separation axioms, compactness axioms, representations, and compactifications to poslat topological spaces

Fuzzy Sets and Systems - Special issue on fuzzy topology
Category theoretic aspects of chain-valued frames: Part I: Categorical and presheaf theoretic foundations

Fuzzy Sets and Systems
Category theoretic aspects of chain-valued frames: Part II: Applications to lattice-valued topology

Fuzzy Sets and Systems

From quantale algebroids to topological spaces: Fixed- and variable-basis approaches

Fuzzy Sets and Systems
Hypergraph functor and attachment

Fuzzy Sets and Systems
On limits and colimits of variety-based topological systems

Fuzzy Sets and Systems
A survey of fuzzifications of frames, the Papert--Papert--Isbell adjunction and sobriety

Fuzzy Sets and Systems
Categorical foundations of variety-based topology and topological systems

Fuzzy Sets and Systems
Composite variety-based topological theories

Fuzzy Sets and Systems
Sobriety and spatiality in categories of lattice-valued algebras

Fuzzy Sets and Systems
Category-theoretic fuzzy topological spaces and their dualities

Fuzzy Sets and Systems
Categorically algebraic topology versus universal topology

Fuzzy Sets and Systems
A characterization of the category Q-TOP

Fuzzy Sets and Systems
On fuzzification of topological categories

Fuzzy Sets and Systems

Quantified Score

Hi-index	0.21

Visualization

Abstract

The paper considers a generalization of the classical Papert-Papert-Isbell adjunction between the categories of topological spaces and locales to an arbitrary variety of algebras and illustrates the obtained results by the category of algebras over a given unital commutative quantale.