On the extension of valuations on a field K to K(X). - I
Popescu, Nicolae ; Vraciu, Constantin
Rendiconti del Seminario Matematico della Università di Padova, Tome 88 (1992), p. 151-168 / Harvested from Numdam
Access to full text
Full (PDF)
Full (DJVU) 
@article{RSMUP_1992__87__151_0,
     author = {Popescu, Nicolae and Vraciu, Constantin},
     title = {On the extension of valuations on a field $K$ to $K(X)$. - I},
     journal = {Rendiconti del Seminario Matematico della Universit\`a di Padova},
     volume = {88},
     year = {1992},
     pages = {151-168},
     mrnumber = {1183907},
     zbl = {0774.12009},
     language = {en},
     url = {http://dml.mathdoc.fr/item/RSMUP_1992__87__151_0}
}

Popescu, Nicolae; Vraciu, Constantin. On the extension of valuations on a field $K$ to $K(X)$. - I. Rendiconti del Seminario Matematico della Università di Padova, Tome 88 (1992) pp. 151-168. http://gdmltest.u-ga.fr/item/RSMUP_1992__87__151_0/

[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. | MR 950136 | Zbl 0651.12018

[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. | MR 981094 | Zbl 0689.12017

[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. | MR 1068787 | Zbl 0728.12009

[4] V. Alexandru - N. Popescu - A. Zaharescu, All valuations on K(X), to appear in J. Math. Kyoto Univ. | MR 1068792 | Zbl 0728.12010

[5] N. Bourbaki, Algebre Commutative, Ch. V: Entiers, Ch. VI: Valuations, Hermann, Paris (1964). | MR 194450

[6] O. Endler, Valuation Theory, Springer, Berlin -Heidelberg-New York (1972). | MR 357379 | Zbl 0257.12111

[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. | Zbl 0698.12020

[8] R. Ribenboim, Theories des valuations, Les presses de l'Université de Montreal (1964). | Zbl 0139.26201

[9] O.F.G. Schilling, The Theory of Valuations, A.M.S. Surveys, no. 4, Providence, Rhode Island (1950). | MR 43776 | Zbl 0037.30702