@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] 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] 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] Minimal pair of definition of a residual transcendental extension of a valuation, to appear in J. Math. Kyoto Univ. | MR | Zbl
- - ,[4] All valuations on K(X), to appear in J. Math. Kyoto Univ. | MR | Zbl
- - ,[5] Algebre Commutative, Ch. V: Entiers, Ch. VI: Valuations, Hermann, Paris (1964). | MR
,[6] Valuation Theory, Springer, Berlin -Heidelberg-New York (1972). | MR | Zbl
,[7] 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] Theories des valuations, Les presses de l'Université de Montreal (1964). | Zbl
,[9] The Theory of Valuations, A.M.S. Surveys, no. 4, Providence, Rhode Island (1950). | MR | Zbl
,