When is C(X) A Coherent Ring?

DOI10.2307/2048096zbMath0719.54019OpenAlexW4249784030MaRDI QIDQ5751563

Charles W. Neville

Publication date: 1990

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

Full work available at URL: https://doi.org/10.2307/2048096

zbMATH Keywords

projective modulesemihereditary ringcoherent ring basically disconnected space

Mathematics Subject Classification ID

Projective and free modules and ideals in commutative rings (13C10) Algebraic properties of function spaces in general topology (54C40) Commutative rings and modules of finite generation or presentation; number of generators (13E15) Extremally disconnected spaces, (F)-spaces, etc. (54G05)

Related Items (8)

Noncoherent uniform algebras in $\mathbb {C}^n$ ⋮ Unnamed Item ⋮ Constructible sheaves on schemes ⋮ Finite frames, \(P\)-frames and basically disconnected frames ⋮ A characterization of coherence of the algebra of bounded uniformly continuous functions on a metric space and the spectrum of general self-adjoint Banach function algebras ⋮ C(X) AS AN Lc(X)-MODULE ⋮ C(X): Something old and something new ⋮ Noncoherence of some rings of functions

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