Generating the algebraic theory of C(X)

DOI10.1007/BF02483718zbMath0516.18008OpenAlexW2024724815MaRDI QIDQ1052451

John R. Isbell

Publication date: 1982

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

Full work available at URL: https://doi.org/10.1007/bf02483718

zbMATH Keywords

commutative Banach algebrasalgebraic theoriescommutative C*-algebrascompact topological T-algebra

Mathematics Subject Classification ID

Banach algebras of continuous functions, function algebras (46J10) General theory of (C^*)-algebras (46L05) Extensions of spaces (compactifications, supercompactifications, completions, etc.) (54D35) Theories (e.g., algebraic theories), structure, and semantics (18C10) Categories of algebras (08C05) Categories of spans/cospans, relations, or partial maps (18B10)

Related Items (12)

On the axiomatisability of the dual of compact ordered spaces ⋮ Unnamed Item ⋮ Enriched Stone-type dualities ⋮ Stone duality above dimension zero: axiomatising the algebraic theory of \(\mathrm{C}(X)\) ⋮ Generating the algebraic theory of $C(X)$: the case of partially ordered compact spaces ⋮ Beth definability and the Stone-Weierstrass theorem ⋮ On the equational theory of \(C^*\)-algebras ⋮ Equivalence à la Mundici for commutative lattice-ordered monoids ⋮ A characterisation of the category of compact Hausdorff spaces ⋮ On the uniqueness of cellular injectives ⋮ Affine algebraic sets relative to an algebraic theory ⋮ Hilbert spaces and \(C^\ast\)-algebras are not finitely concrete

Cites Work

• Unnamed Item
• Unnamed Item
• Primal topological algebras
• The duality of compact semigroups and \(C^ *\)-bigebras

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