## Bulletin of the Belgian Mathematical Society - Simon Stevin

### A ring homomorphism is enough to get nonstandard analysis

#### 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.

#### Article information

Source
Bull. Belg. Math. Soc. Simon Stevin, Volume 10, Number 4 (2003), 481-490.

Dates
First available in Project Euclid: 5 December 2003

https://projecteuclid.org/euclid.bbms/1070645796

Digital Object Identifier
doi:10.36045/bbms/1070645796

Mathematical Reviews number (MathSciNet)
MR2040525

Zentralblatt MATH identifier
1062.03066

#### Citation

Benci, Vieri; Di Nasso, Mauro. A ring homomorphism is enough to get nonstandard analysis. Bull. Belg. Math. Soc. Simon Stevin 10 (2003), no. 4, 481--490. doi:10.36045/bbms/1070645796. https://projecteuclid.org/euclid.bbms/1070645796