On The Solvability In Local Extensions

Lbekkouri, Akram

doi:10.2478/auom-2014-0037

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On The Solvability In Local Extensions

Analele ştiinţifice ale Universităţii "Ovidius" Constanţa. Seria Matematică

Volume 22 (2014): Issue 2 (June 2014)

By: Akram Lbekkouri

Open Access

|Oct 2015

Abstract

The aim of this paper is the study of the solvability of finite extensions of local fields in the general case that is when the residue field is not necessarily perfect.

References

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[2] I.B.ZHUKOV, On ramification theory in the imperfect residue field case, Prepint No. 98-02, Nottingham Univ.,1998. Proceedings of the conference: Ramification Theory of Arithmetic Schemes (Luminy,1999)(ed.B.Erez) accessible on http://family239.narod.ru/math/publ.htm.
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[3] J.P. SERRE, Local fields, Springer 1979.10.1007/978-1-4757-5673-9
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[4] O. ZARISKI and P. SAMUEL, Commutative algebra, vol.I, Van Nostrand, Princeton, New Jersey, 1958 [Reprinted Springer-Verlag GTM 28 New York, 1960 ].
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DOI: https://doi.org/10.2478/auom-2014-0037 | Journal eISSN: 1844-0835 | Journal ISSN: 1224-1784

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Language: English

Page range: 121 - 128

Submitted on: Nov 1, 2012

Accepted on: Dec 1, 2012

Published on: Oct 20, 2015

Published by: Ovidius University of Constanta

In partnership with: Paradigm Publishing Services

Publication frequency: 3 issues per year

Keywords:

Inertia group,

General case,

Imperfect residue field,

N-dimensional a local fields

Related subjects:

Mathematics,

General mathematics

© 2015 Akram Lbekkouri, published by Ovidius University of Constanta
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

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