A ring homomorphism is enough to get nonstandard analysis
Benci, Vieri ; Di Nasso, Mauro
Bull. Belg. Math. Soc. Simon Stevin, Tome 10 (2003) no. 1, p. 481-490 / Harvested from Project Euclid
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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.
Publié le : 2003-09-14
Classification:  Rings of functions,  Nonstandard analysis,  16S60,  54C40,  26E35 
@article{1070645796,
     author = {Benci, Vieri and Di Nasso, Mauro},
     title = {A ring homomorphism is enough to get nonstandard analysis},
     journal = {Bull. Belg. Math. Soc. Simon Stevin},
     volume = {10},
     number = {1},
     year = {2003},
     pages = { 481-490},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1070645796}
}

Benci, Vieri; Di Nasso, Mauro. A ring homomorphism is enough to get nonstandard analysis. Bull. Belg. Math. Soc. Simon Stevin, Tome 10 (2003) no. 1, pp.  481-490. http://gdmltest.u-ga.fr/item/1070645796/