On the extension of valuations on a field K to K(X). - I
Rendiconti del Seminario Matematico della Università di Padova, Volume 87 (1992), pp. 151-168.
@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},
     pages = {151--168},
     publisher = {Seminario Matematico of the University of Padua},
     volume = {87},
     year = {1992},
     mrnumber = {1183907},
     zbl = {0774.12009},
     language = {en},
     url = {http://www.numdam.org/item/RSMUP_1992__87__151_0/}
}
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
SP  - 151
EP  - 168
VL  - 87
PB  - Seminario Matematico of the University of Padua
UR  - http://www.numdam.org/item/RSMUP_1992__87__151_0/
LA  - en
ID  - RSMUP_1992__87__151_0
ER  - 
%0 Journal Article
%A Popescu, Nicolae
%A Vraciu, Constantin
%T On the extension of valuations on a field $K$ to $K(X)$. - I
%J Rendiconti del Seminario Matematico della Università di Padova
%D 1992
%P 151-168
%V 87
%I Seminario Matematico of the University of Padua
%U http://www.numdam.org/item/RSMUP_1992__87__151_0/
%G en
%F 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, Volume 87 (1992), pp. 151-168. http://www.numdam.org/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 | Zbl

[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 | Zbl

[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 | Zbl

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

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

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

[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

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

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