Notes on the Hahn and Hausdorff theorems of embedding and on fields of formal series

Authors
Esterle, J
Citation
J. Esterle, Notes on the Hahn and Hausdorff theorems of embedding and on fields of formal series, Q J MATH, 51, 2000, pp. 211-219
Citations number
33
Categorie Soggetti
Mathematics
Journal title
QUARTERLY JOURNAL OF MATHEMATICS
ISSN journal
00335606 → ACNP
Volume
51
Year of publication
2000
Part
2
Pages
211 - 219
Database
ISI
SICI code
0033-5606(200006)51:<211:NOTHAH>2.0.ZU;2-9
Abstract
We give a short proof of the Hausdorff-Sierpinski embedding theorem for lin early ordered sets and of the existence of inverses for nonzero elements of Hahn's rings of formal series. We also give a new proof and an improved ve rsion of Hahn's embedding theorem for linearly ordered groups.