On the extension of valuations on a field K to K ( X ) . - I

Nicolae Popescu; Constantin Vraciu

Rendiconti del Seminario Matematico della Università di Padova (1992)

  • Volume: 87, page 151-168
  • ISSN: 0041-8994

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Popescu, Nicolae, and Vraciu, Constantin. "On the extension of valuations on a field $K$ to $K(X)$. - I." Rendiconti del Seminario Matematico della Università di Padova 87 (1992): 151-168. <http://eudml.org/doc/108247>.

@article{Popescu1992,
author = {Popescu, Nicolae, Vraciu, Constantin},
journal = {Rendiconti del Seminario Matematico della Università di Padova},
keywords = {extension of valuations; field of rational functions; quasi unramified extensions; residual transcendental extensions},
language = {eng},
pages = {151-168},
publisher = {Seminario Matematico of the University of Padua},
title = {On the extension of valuations on a field $K$ to $K(X)$. - I},
url = {http://eudml.org/doc/108247},
volume = {87},
year = {1992},
}

TY - JOUR
AU - Popescu, Nicolae
AU - Vraciu, Constantin
TI - On the extension of valuations on a field $K$ to $K(X)$. - I
JO - Rendiconti del Seminario Matematico della Università di Padova
PY - 1992
PB - Seminario Matematico of the University of Padua
VL - 87
SP - 151
EP - 168
LA - eng
KW - extension of valuations; field of rational functions; quasi unramified extensions; residual transcendental extensions
UR - http://eudml.org/doc/108247
ER -

References

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  1. [1] V. Alexandru - N. POPESCU, Sur une classe di prolongemente a K(X) d'une valuation sur un corps K, Rev. 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 extension 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, to appear in J. Math. Kyoto Univ. Zbl0728.12009MR1068787
  4. [4] V. Alexandru - N. Popescu - A. Zaharescu, All valuations on K(X), to appear in J. Math. Kyoto Univ. Zbl0728.12010MR1068792
  5. [5] N. Bourbaki, Algebre Commutative, Ch. V: Entiers, Ch. VI: Valuations, Hermann, Paris (1964). MR194450
  6. [6] O. Endler, Valuation Theory, Springer, Berlin -Heidelberg-New York (1972). Zbl0257.12111MR357379
  7. [7] L. Popescu - N. Popescu, Sur la definition des prolongements residuels transcendents d'une valuation sur un corps K à K(X), to appear in J. Math. Tsukaba Univ. Zbl0698.12020
  8. [8] R. Ribenboim, Theories des valuations, Les presses de l'Université de Montreal (1964). Zbl0139.26201
  9. [9] O.F.G. Schilling, The Theory of Valuations, A.M.S. Surveys, no. 4, Providence, Rhode Island (1950). Zbl0037.30702MR43776

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