Noncoherence of some rings of functions

DOI10.1090/S0002-9939-07-08704-7zbMath1123.46036OpenAlexW2094573204MaRDI QIDQ3432771

Amol J. Sasane

Publication date: 18 April 2007

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

Full work available at URL: https://doi.org/10.1090/s0002-9939-07-08704-7

zbMATH Keywords

coherent ringsBanach algebras of analytic functions

Mathematics Subject Classification ID

Linear systems in control theory (93C05) Banach algebras of differentiable or analytic functions, (H^p)-spaces (46J15) Commutative rings and modules of finite generation or presentation; number of generators (13E15) Rings and algebras of continuous, differentiable or analytic functions (46E25)

Cites Work

• Coherence of some rings of functions
• The Fractional Representation Approach to Synthesis Problems: An Algebraic Analysis Viewpoint Part I: (Weakly) Doubly Coprime Factorizations
• The Fractional Representation Approach to Synthesis Problems: An Algebraic Analysis Viewpoint Part II: Internal Stabilization
• WHEN IS Apo-COHERENT RING?
• When is C(X) A Coherent Ring?
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