Every Real Closed Field has an Integer Part

Mourgues, M. H.; Ressayre, J. P.

J. Symbolic Logic, Tome 58 (1993) no. 1, p. 641-647 / Harvested from Project Euclid

Résumé

Let us call an integer part of an ordered field any subring such that every element of the field lies at distance less than 1 from a unique element of the ring. We show that every real closed field has an integer part.

Publié le : 1993-06-14
Classification:

@article{1183744252,
     author = {Mourgues, M. H. and Ressayre, J. P.},
     title = {Every Real Closed Field has an Integer Part},
     journal = {J. Symbolic Logic},
     volume = {58},
     number = {1},
     year = {1993},
     pages = { 641-647},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1183744252}
}

Mourgues, M. H.; Ressayre, J. P. Every Real Closed Field has an Integer Part. J. Symbolic Logic, Tome 58 (1993) no. 1, pp.  641-647. http://gdmltest.u-ga.fr/item/1183744252/