On the extension of a valuation on a field K to K ( X ) . - II

Nicolae Popescu; Constantin Vraciu

Rendiconti del Seminario Matematico della Università di Padova (1996)

  • Volume: 96, page 1-14
  • ISSN: 0041-8994

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Popescu, Nicolae, and Vraciu, Constantin. "On the extension of a valuation on a field $K$ to $K(X)$. - II." Rendiconti del Seminario Matematico della Università di Padova 96 (1996): 1-14. <http://eudml.org/doc/108410>.

@article{Popescu1996,
author = {Popescu, Nicolae, Vraciu, Constantin},
journal = {Rendiconti del Seminario Matematico della Università di Padova},
keywords = {simple transcendental extension of a valued field; composite valuations; residual transcendental extension},
language = {eng},
pages = {1-14},
publisher = {Seminario Matematico of the University of Padua},
title = {On the extension of a valuation on a field $K$ to $K(X)$. - II},
url = {http://eudml.org/doc/108410},
volume = {96},
year = {1996},
}

TY - JOUR
AU - Popescu, Nicolae
AU - Vraciu, Constantin
TI - On the extension of a valuation on a field $K$ to $K(X)$. - II
JO - Rendiconti del Seminario Matematico della Università di Padova
PY - 1996
PB - Seminario Matematico of the University of Padua
VL - 96
SP - 1
EP - 14
LA - eng
KW - simple transcendental extension of a valued field; composite valuations; residual transcendental extension
UR - http://eudml.org/doc/108410
ER -

References

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  1. [1] V. Alexandru - N. Popescu, Sur une classe de prolongements a K(X) d'une valuation sur un corps K, Revue Roum. Math. Pures. Appl., 33, 5 (1988), pp. 393-400. Zbl0651.12018MR950136
  2. [2] V. Alexandru - N. POPESCU - A. ZAHARESCU, A theorem of characterization of residual transcendental extensions of a valuation, J. Math. Kyoto Univ., 28 (1988), pp. 579-592. Zbl0689.12017MR981094
  3. [3] V. Alexandru - N. POPESCU - A. ZAHARESCU, Minimal pair of definition of a residual transcendental extension of a valuation, J. Math. Kyoto Univ., 30 (1990), pp. 207-225. Zbl0728.12009MR1068787
  4. [4] V. Alexandru - N. POPESCU - A. ZAHARESCU, All valuations on K(X), J. Math. Kyoto Univ., 30 (1990), pp. 281-296. Zbl0728.12010MR1068792
  5. [5] N. Bourbaki, Algebre Commutative, Ch. V: Entiers, Ch. VI: Valuations, Hermann, Paris (1964). MR194450
  6. [6] L. Popescu - N. Popescu, Sur la definition des prolongements residuels transcendents d'une valuation sur un corps K a K(X), Bull. Math. Soc. Math. R. S. Roumanie, 33 (81), 3 (1989). Zbl0698.12020
  7. [7] E.L. Popescu - N. Popescu, On the residual transcendental extensions of a valuation. Key polynomials and augumented valuations, Tsukuba J. Math., 15 (1991), pp. 57-78. Zbl0734.12004MR1118582
  8. [8] N. Popescu - C. Vraciu, On the extension of valuations on a field K to K(X) - I, Rend. Sem. Mat. Univ. Padova, 87 (1992), pp. 151-168. Zbl0774.12009MR1183907
  9. [9] N. Popescu - A. Zaharescu, On the structure of the irreducible polynomials over local fields, J. Number Theory, 52, No. 1 (1995), pp. 98-118. Zbl0838.11078MR1331768
  10. [10] N. Popescu - A. Zaharescu, On a class of valuations on K(X), to appear. Zbl0872.12007
  11. [11] P. Samuel - O. Zariski, Commutative Algebra, Vol. II, D. Van Nostrand, Princeton (1960). Zbl0121.27801MR120249

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