A ring homomorphism is enough to get nonstandard analysis

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zbMath1062.03066MaRDI QIDQ1887377

Vieri Benci, Mauro Di Nasso

Publication date: 25 November 2004

Published in: Bulletin of the Belgian Mathematical Society - Simon Stevin (Search for Journal in Brave)

zbMATH Keywords

nonstandard analysis hyper-homomorphism hyperreal fields Leibniz transfer principle

Mathematics Subject Classification ID

Nonstandard models in mathematics (03H05) Nonstandard analysis (26E35)

Related Items (7)

Generalized solutions in PDEs and the Burgers' equation ⋮ A new approach to the \(Z\)-transform through infinite computation ⋮ The ring of Fermat reals ⋮ Infinitesimals without logic ⋮ Alpha-theory: An elementary axiomatics for nonstandard analysis ⋮ A purely algebraic characterization of the hyperreal numbers ⋮ An improved setting for generalized functions: fine ultrafunctions

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