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Constructing higher order schemes by formal power series

✍ Scribed by Wen-Jie Zhu; Meng-Zhao Qin

Publisher
Elsevier Science
Year
1993
Tongue
English
Weight
405 KB
Volume
25
Category
Article
ISSN
0898-1221

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πŸ“œ SIMILAR VOLUMES

Embedding ordered fields in formal power
Embedding ordered fields in formal power series fields
✍ F.-V. Kuhlmann; S. Kuhlmann; M. Marshall; M. Zekavat πŸ“‚ Article πŸ“… 2002 πŸ› Elsevier Science 🌐 English βš– 198 KB

In the paper it is shown how an embedding of an ordered ΓΏeld F into a formal power series ΓΏeld can be extended canonically to an embedding of any simple extension F(y) of F. Properties of the extended embedding are studied in detail. Several applications are given.

Formal power series over Cartesian group
Formal power series over Cartesian groups and their spaces of orderings
✍ Franz Kalhoff πŸ“‚ Article πŸ“… 1990 πŸ› Springer 🌐 English βš– 709 KB

We introduce formal power series over Cartesian groups on arbitrary, ordered loops, and show that, under a weak additional hypothesis, their spaces of orderings (in the sense of M. Marshall) are as in the classical case. In particular, we obtain that any classical space of orderings can be realized