La clôture algébrique du corps des séries formelles

Ali Benhissi

Annales mathématiques Blaise Pascal (1995)

  • Volume: 2, Issue: 2, page 1-14
  • ISSN: 1259-1734

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Benhissi, Ali. "La clôture algébrique du corps des séries formelles." Annales mathématiques Blaise Pascal 2.2 (1995): 1-14. <http://eudml.org/doc/79136>.

@article{Benhissi1995,
author = {Benhissi, Ali},
journal = {Annales mathématiques Blaise Pascal},
keywords = {Galois extensions of the Puiseux field; separable closure; algebraic closure; meromorphic formal power series},
language = {fre},
number = {2},
pages = {1-14},
publisher = {Laboratoires de Mathématiques Pures et Appliquées de l'Université Blaise Pascal},
title = {La clôture algébrique du corps des séries formelles},
url = {http://eudml.org/doc/79136},
volume = {2},
year = {1995},
}

TY - JOUR
AU - Benhissi, Ali
TI - La clôture algébrique du corps des séries formelles
JO - Annales mathématiques Blaise Pascal
PY - 1995
PB - Laboratoires de Mathématiques Pures et Appliquées de l'Université Blaise Pascal
VL - 2
IS - 2
SP - 1
EP - 14
LA - fre
KW - Galois extensions of the Puiseux field; separable closure; algebraic closure; meromorphic formal power series
UR - http://eudml.org/doc/79136
ER -

References

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  1. [1] A. Bigard ; M. Crestey ; J. Grappy : Problèmes d'algèbre générale. Dunod , Paris , 1971. Zbl0243.00002MR218156
  2. [2] N. Bourbaki : Algèbre, ch . 4 et 5, Hermann1973. 
  3. [3] W. Brandal : Commutative rings whose finitely generated modules decompose ; lecture notes in mathematics723. Zbl0426.13004MR539854
  4. [4] B. Diarra : Corps de Puiseux généralisés (d'après F.J. Rayner) : séminaire d'Algèbre - Clermont-Ferrand 1981-82 (non publié). 
  5. [5] F.J. Rayner : An algebraically closed field, Glasgow Mathematical Journal vol.9, Part 2, (1968) pp146-151. Zbl0159.05302MR234941
  6. [6] F.J. Rayner : Algebraically closed fields analogous to fields of Puiseux séries ; Journal of the London Math. Soc., vol.8 , n°3, 1974, p. 504 - 506. Zbl0306.12103MR349642
  7. [7] P. Ribenboim : L'arithmétique des corps, Hermann1972. Zbl0253.12101MR330093
  8. [8] P. Ribenboim ; L. Van Den Dries : The absolute galois group of a rational function field in characteristic zero is a semi-direct product, Canad. Math. Bull. Vol 27 (3), 1984, pp 313 - 315. Zbl0548.12013MR749638
  9. [9] D. Stefanescu : A method to obtain algebraic elements over K((T)) in positive characteristic, Bull. Math. de la Soc.Sci. Math. de la R. S. de Roumanie, Tome 26 (74), n°1, 1982, pp 77-91. Zbl0487.12015MR660937
  10. [10] D. Stefanescu: On meromorphic formal power series, Bull. Math. de la Soc. Sci. Math. de la R. S. de Roumanie, Tome 27 (75), n°2, 1983 , pp 170-178. Zbl0515.12018MR710034
  11. [11] O. Zariski; P. Samuel : Commutative Algebra vol II, 1960, Springer Verlag . Zbl0121.27801MR389876

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