Turkish Journal of Mathematics
Article Title
DOI

Abstract
The concept of the ``relation of comparability'' was introduced by Maillet in [7], who showed that if \alpha,\beta are comparable Liouville numbers then each of the numbers \alpha +\beta, \alpha \beta, \alpha \beta and \alpha /\beta is either a rational or Lioville number. Moreover those which are Liouville numbers are comparable aamong theem and to \alpha and \beta. Maillet's proof uses in an essential way the transitivity of the comparability relation. Unfortunately, as the comparability relation is not transitive, his proof is defective. In this paper, without using the comparability relation, we obtain some uncountable subfields of padic numbers field, Q_p. In [1] using a different notion of comparability, Alnıaçık was able to define some uncountable subfields of C. In this paper, without using comparability relation, we define irregular semistrong padic U_m numbers and obtain some uncountable subfields of padic numbers field Q_p
First Page
75
Last Page
85
Recommended Citation
DURU, HÜLYA (2006) "On Irregular Semi Strong PADIC U Numbers," Turkish Journal of Mathematics: Vol. 30: No. 1, Article 7. Available at: https://journals.tubitak.gov.tr/math/vol30/iss1/7