@article{RSMUP_1996__96__1_0, author = {Popescu, Nicolae and Vraciu, Constantin}, title = {On the extension of a valuation on a field $K$ to $K(X)$. - II}, journal = {Rendiconti del Seminario Matematico della Universit\`a di Padova}, volume = {96}, year = {1996}, pages = {1-14}, mrnumber = {1438285}, zbl = {0881.12004}, language = {en}, url = {http://dml.mathdoc.fr/item/RSMUP_1996__96__1_0} }
Popescu, Nicolae; Vraciu, Constantin. On the extension of a valuation on a field $K$ to $K(X)$. - II. Rendiconti del Seminario Matematico della Università di Padova, Tome 96 (1996) pp. 1-14. http://gdmltest.u-ga.fr/item/RSMUP_1996__96__1_0/
[1] 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. | MR 950136 | Zbl 0651.12018
- ,[2] N. POPESCU - A. ZAHARESCU, A theorem of characterization of residual transcendental extensions of a valuation, J. Math. Kyoto Univ., 28 (1988), pp. 579-592. | MR 981094 | Zbl 0689.12017
-[3] 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. | MR 1068787 | Zbl 0728.12009
-[4] N. POPESCU - A. ZAHARESCU, All valuations on K(X), J. Math. Kyoto Univ., 30 (1990), pp. 281-296. | MR 1068792 | Zbl 0728.12010
-[5] Algebre Commutative, Ch. V: Entiers, Ch. VI: Valuations, Hermann, Paris (1964). | MR 194450
,[6] 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). | Zbl 0698.12020
- ,[7] On the residual transcendental extensions of a valuation. Key polynomials and augumented valuations, Tsukuba J. Math., 15 (1991), pp. 57-78. | MR 1118582 | Zbl 0734.12004
- ,[8] On the extension of valuations on a field K to K(X) - I, Rend. Sem. Mat. Univ. Padova, 87 (1992), pp. 151-168. | Numdam | MR 1183907 | Zbl 0774.12009
- ,[9] On the structure of the irreducible polynomials over local fields, J. Number Theory, 52, No. 1 (1995), pp. 98-118. | MR 1331768 | Zbl 0838.11078
- ,[10] On a class of valuations on K(X), to appear. | Zbl 0872.12007
- ,[11] Commutative Algebra, Vol. II, D. Van Nostrand, Princeton (1960). | MR 120249 | Zbl 0121.27801
- ,