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December 2003 A ring homomorphism is enough to get nonstandard analysis
Vieri Benci, Mauro Di Nasso
Bull. Belg. Math. Soc. Simon Stevin 10(4): 481-490 (December 2003). DOI: 10.36045/bbms/1070645796

Abstract

It is shown that assuming the existence of a suitable ring homomorphism is enough to get an algebraic presentation of nonstandard methods that is equivalent to the popular superstructure approach, including $\kappa$-saturation.

Citation

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Vieri Benci. Mauro Di Nasso. "A ring homomorphism is enough to get nonstandard analysis." Bull. Belg. Math. Soc. Simon Stevin 10 (4) 481 - 490, December 2003. https://doi.org/10.36045/bbms/1070645796

Information

Published: December 2003
First available in Project Euclid: 5 December 2003

zbMATH: 1062.03066
MathSciNet: MR2040525
Digital Object Identifier: 10.36045/bbms/1070645796

Subjects:
Primary: 16S60 , 26E35 , 54C40

Keywords: nonstandard analysis , Rings of functions

Rights: Copyright © 2003 The Belgian Mathematical Society

Vol.10 • No. 4 • December 2003
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