Some elementary remarks about n-local fields
Rendiconti del Seminario Matematico della Università di Padova, Tome 92 (1994), pp. 17-28.
@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},
     pages = {17--28},
     publisher = {Seminario Matematico of the University of Padua},
     volume = {92},
     year = {1994},
     mrnumber = {1320475},
     zbl = {0846.12006},
     language = {en},
     url = {http://archive.numdam.org/item/RSMUP_1994__92__17_0/}
}
TY  - JOUR
AU  - Alexandru, Victor
AU  - Popescu, Nicolae
TI  - Some elementary remarks about $n$-local fields
JO  - Rendiconti del Seminario Matematico della Università di Padova
PY  - 1994
SP  - 17
EP  - 28
VL  - 92
PB  - Seminario Matematico of the University of Padua
UR  - http://archive.numdam.org/item/RSMUP_1994__92__17_0/
LA  - en
ID  - RSMUP_1994__92__17_0
ER  - 
%0 Journal Article
%A Alexandru, Victor
%A Popescu, Nicolae
%T Some elementary remarks about $n$-local fields
%J Rendiconti del Seminario Matematico della Università di Padova
%D 1994
%P 17-28
%V 92
%I Seminario Matematico of the University of Padua
%U http://archive.numdam.org/item/RSMUP_1994__92__17_0/
%G en
%F 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://archive.numdam.org/item/RSMUP_1994__92__17_0/

[1] V. Alexandru - 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 | Zbl

[2] V. Alexandru - 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 | Zbl

[3] N. Bourbaki, Algebre commutative, Ch. V, VI, Hermann, Paris (1964). | MR

[4] H. Hasse, Number Theory, Springer, Berlin-Heidelberg-New York (1980). | MR | Zbl

[5] K. Hensel, 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

[6] M. Krasner, 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 | Zbl

[7] W. Krull, Allgemaine Bewertungstheorie, J. Math., 167 (1932), pp. 160-196. | JFM

[8] A.N. Parshin, Abelian coverings of arithmetic schemes (russian), Dokl. Acad. Nauk. SSSR, 243 (4) (1978), pp. 855-858. | MR | Zbl

[9] A.N. Parschin, Local class field theory (russian), Trudi Math. Inst. Steklov, 165 (1984), pp. 143-170. | MR | Zbl

[10] N. Popescu - A. Zaharescu, On valuations on k(X, Y) trivial on k, to appear.

[11] P. Samuel - O. Zariski, Commutative Algebra - II, Van Nostrand, Prince-ton (1960). | MR | Zbl

[12] O.F. Schilling, The theory of valuations, A.M.S. Math. Surveys, No. 4, Providence, Rhode Island (1950). | Zbl

[13] J.P. Serre, Corp locaux, Hermann, Paris (1962). | Zbl

[14] P. Teichmüller, Diskret bewertete perfecte Körper mit unvollkommenen Restklassenkörper, J. Math., 176 (1936), pp. 141-152. | JFM

[15] E. Weiss, Algebraic Number Theory, McGraw-Hill Book Company, New York (1963). | MR | Zbl