A DUALIZING OBJECT APPROACH TO NONCOMMUTATIVE STONE DUALITY

DOI10.1017/S1446788713000323zbMath1311.06012arXiv1108.5741OpenAlexW2964262895MaRDI QIDQ5408717

Ganna Kudryavtseva

Publication date: 11 April 2014

Published in: Journal of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1108.5741

zbMATH Keywords

Stone dualityadjunctionsskew Boolean algebrasEilenberg-Moore algebrasreflective subcategoriesBoolean spacesdualizing objects

Mathematics Subject Classification ID

Stone spaces (Boolean spaces) and related structures (06E15) Presheaves and sheaves in general topology (54B40) Generalizations of Boolean algebras (06E75)

Related Items

Boolean sets, skew Boolean algebras and a non-commutative Stone duality ⋮ Free skew Boolean intersection algebras and set partitions ⋮ A non-commutative Priestley duality. ⋮ VARIETIES OF SKEW BOOLEAN ALGEBRAS WITH INTERSECTIONS ⋮ My journey into noncommutative lattices and their theory

Cites Work

• Unnamed Item
• A refinement of Stone duality to skew Boolean algebras
• Characterizations of Morita equivalent inverse semigroups.
• Étale groupoids and their quantales
• Skew Boolean algebras derived from generalized Boolean algebras
• The universal covering of an inverse semigroup.
• Skew lattices in rings
• Normal skew lattices
• Skew Boolean algebras and discriminator varieties
• Recent developments in the theory of skew lattices
• Pseudogroups and their étale groupoids.
• Semigroups and toposes
• Skew Boolean algebras
• A NONCOMMUTATIVE GENERALIZATION OF STONE DUALITY
• Boolean skew algebras
• NON-COMMUTATIVE STONE DUALITY: INVERSE SEMIGROUPS, TOPOLOGICAL GROUPOIDS AND C*-ALGEBRAS
• Category Theory
• The Categories of Boolean Lattices, Boolean Rings and Boolean Spaces

This page was built for publication: A DUALIZING OBJECT APPROACH TO NONCOMMUTATIVE STONE DUALITY