@article{RSMUP_1994__92__17_0, author = {Alexandru, Victor and Popescu, Nicolae}, title = {Some elementary remarks about $n$-local fields}, journal = {Rendiconti del Seminario Matematico della Universit\`a di Padova}, volume = {92}, year = {1994}, pages = {17-28}, mrnumber = {1320475}, zbl = {0846.12006}, language = {en}, url = {http://dml.mathdoc.fr/item/RSMUP_1994__92__17_0} }
Alexandru, Victor; Popescu, Nicolae. Some elementary remarks about $n$-local fields. Rendiconti del Seminario Matematico della Università di Padova, Tome 92 (1994) pp. 17-28. http://gdmltest.u-ga.fr/item/RSMUP_1994__92__17_0/
[1] N. POPESCU - A. ZAHARESCU, A theorem of characterization of residual transcendental extensions of a valuation, J. Math. Kyoto Univ., 18 (4) (1988), pp. 579-592. | MR 981094 | Zbl 0689.12017
-[2] N. POPESCU - A. ZAHARESCU, Minimal pairs of definition of a residual transcendental extension of a valuation, J. Math. Kyoto Univ., 30 (2) (1990), pp. 207-225. | MR 1068787 | Zbl 0728.12009
-[3] Algebre commutative, Ch. V, VI, Hermann, Paris (1964). | MR 194450
,[4] Number Theory, Springer, Berlin-Heidelberg-New York (1980). | MR 562104 | Zbl 0423.12002
,[5] Arithmetische Theorie der algebraischen Functionen von zwei variablen. - I, II, J. Math., Band 165 (1931), pp. 257-264; Band 168 (1938), pp. 117-128. | JFM 57.0169.01
,[6] Nombre des extensions d'un degré donne d'un corps p-addique, in Le tendences géometriques en algèbre et théorie des nombre Clermont-Ferrand, 2-9 Avril 1964, (1966), pp. 143-169. | MR 225756 | Zbl 0143.06403
,[7] Allgemaine Bewertungstheorie, J. Math., 167 (1932), pp. 160-196. | JFM 58.0148.02
,[8] Abelian coverings of arithmetic schemes (russian), Dokl. Acad. Nauk. SSSR, 243 (4) (1978), pp. 855-858. | MR 514485 | Zbl 0443.12006
,[9] Local class field theory (russian), Trudi Math. Inst. Steklov, 165 (1984), pp. 143-170. | MR 752939 | Zbl 0535.12013
,[10] On valuations on k(X, Y) trivial on k, to appear.
- ,[11] Commutative Algebra - II, Van Nostrand, Prince-ton (1960). | MR 120249 | Zbl 0121.27801
- ,[12] The theory of valuations, A.M.S. Math. Surveys, No. 4, Providence, Rhode Island (1950). | Zbl 0037.30702
,[13] Corp locaux, Hermann, Paris (1962). | Zbl 0137.02601
,[14] Diskret bewertete perfecte Körper mit unvollkommenen Restklassenkörper, J. Math., 176 (1936), pp. 141-152. | JFM 62.1114.01
,[15] Algebraic Number Theory, McGraw-Hill Book Company, New York (1963). | MR 159805 | Zbl 0115.03601
,