Dualizing clones into categories of topological spaces.

DOI10.1007/s00012-014-0303-2zbMath1310.08001OpenAlexW1999110611MaRDI QIDQ485103

Sebastian Kerkhoff

Publication date: 9 January 2015

Published in: Algebra Universalis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00012-014-0303-2

zbMATH Keywords

dualitiesclonescentralizer clonesessential aritiesclones of dual operationsLawvere theory

Mathematics Subject Classification ID

Lattices and duality (06D50) Operations and polynomials in algebraic structures, primal algebras (08A40) Epimorphisms, monomorphisms, special classes of morphisms, null morphisms (18A20) Theories (e.g., algebraic theories), structure, and semantics (18C10) Equational classes, universal algebra in model theory (03C05) Galois correspondences, closure operators (in relation to ordered sets) (06A15)

Related Items

A short introduction to clones.

Cites Work

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• On clones of operations over finite Boolean algebras
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• Minimal clones -- a minicourse
• ON LATTICES OF CONTINUOUS FUNCTIONS
• The Duality BetweenM-Spaces and Compact Hausdorff Spaces
• A GENERAL DUALITY THEORY FOR CLONES
• Function Algebras on Finite Sets
• ON DUALIZING CLONES AS LAWVERE THEORIES
• Representation of Distributive Lattices by means of ordered Stone Spaces
• FUNCTORIAL SEMANTICS OF ALGEBRAIC THEORIES
• The Theory of Representation for Boolean Algebras
• The Two-Valued Iterative Systems of Mathematical Logic. (AM-5)

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