6533b860fe1ef96bd12c2f1b

RESEARCH PRODUCT

Sobriety and spatiality in varieties of algebras

Sergey A. Solovyov

subject

Pure mathematicsLogicGeneralizationQuantaleFuzzy setMathematics::General TopologyT-normTopological spaceAdjunctionArtificial IntelligenceMathematics::Category TheoryVariety (universal algebra)Commutative propertyMathematics

description

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.

yearjournalcountryeditionlanguage
2008-10-01Fuzzy Sets and Systems
https://doi.org/10.1016/j.fss.2008.02.010