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Embedding ordered fields in formal power series fields

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11_Embedding_ordered_fields_2002.pdf
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2002

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Kuhlmann, Franz-Viktor
Marshall, Murray
Zekavat, M.

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Published

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Journal of Pure and Applied Algebra. 2002, 169(1), pp. 71-90. ISSN 0022-4049. eISSN 1873-1376. Available under: doi: 10.1016/S0022-4049(01)00064-0

Zusammenfassung

In the paper it is shown how an embedding of an ordered field F into a formal power series field 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.

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510 Mathematik

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ISO 690KUHLMANN, Franz-Viktor, Salma KUHLMANN, Murray MARSHALL, M. ZEKAVAT, 2002. Embedding ordered fields in formal power series fields. In: Journal of Pure and Applied Algebra. 2002, 169(1), pp. 71-90. ISSN 0022-4049. eISSN 1873-1376. Available under: doi: 10.1016/S0022-4049(01)00064-0
BibTex
@article{Kuhlmann2002Embed-726,
  year={2002},
  doi={10.1016/S0022-4049(01)00064-0},
  title={Embedding ordered fields in formal power series fields},
  number={1},
  volume={169},
  issn={0022-4049},
  journal={Journal of Pure and Applied Algebra},
  pages={71--90},
  author={Kuhlmann, Franz-Viktor and Kuhlmann, Salma and Marshall, Murray and Zekavat, M.}
}
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