On profinite completions and canonical extensions

DOI10.1007/s00012-006-1969-xzbMath1134.06004OpenAlexW1980659015MaRDI QIDQ861603

John Harding

Publication date: 29 January 2007

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

Full work available at URL: https://doi.org/10.1007/s00012-006-1969-x

zbMATH Keywords

profinite completioncanonical extensionfinitely generatedlattice expansion

Mathematics Subject Classification ID

Complete lattices, completions (06B23) Boolean algebras with additional operations (diagonalizable algebras, etc.) (06E25) Products, amalgamated products, and other kinds of limits and colimits (08B25)

Related Items (12)

Profinite completions and canonical extensions of Heyting algebras ⋮ Natural dualities in partnership ⋮ A note on profinite completions and canonical extensions ⋮ Topological duality and algebraic completions ⋮ Extending maps to profinite completions in finitely generated quasivarieties ⋮ Canonical extensions and discrete dualities for finitely generated varieties of lattice-based algebras ⋮ Natural extensions and profinite completions of algebras ⋮ Canonical extensions of posets. ⋮ Canonical extensions and profinite completions of semilattices and lattices ⋮ Canonical extensions and ultraproducts of polarities ⋮ Comparison of MacNeille, canonical, and profinite completions ⋮ MacNeille completion and profinite completion can coincide on finitely generated modal algebras

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