Geodesic
A decomposition of ideals in an Abelian $p$-extension of complete discretely valuated fields.
Zapiski Nauchnykh Seminarov POMI, Problems in the theory of representations of algebras and groups. Part 5, Tome 236 (1997), pp. 23-33 Cet article a éte moissonné depuis la source Math-Net.Ru

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A decomposition of an ideal as a Galois module in an Abelian $p$-extension of a complete discretely valuated field on undecomposited summunds is finded. 
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M. V. Bondarko; S. V. Vostokov. A decomposition of ideals in an Abelian $p$-extension of complete discretely valuated fields.. Zapiski Nauchnykh Seminarov POMI, Problems in the theory of representations of algebras and groups. Part 5, Tome 236 (1997), pp. 23-33. http://geodesic.mathdoc.fr/item/ZNSL_1997_236_a2/

[1] M. Bondarko, S. Vostokov, I. Zhukov, “Additivnye moduli Galua v polnykh diskretno normirovannykh polyakh”, Algebra i analiz, 9:4 (1997), 28–46 | MR | Zbl

[2] M. Bondarko, S. Vostokov, “Razlozhimost idealov kak modulei Galua v polnykh diskretno normirovannykh polyakh”, Algebra i analiz, 11:2 (1999), 41–63 (to appear) | MR | Zbl

[3] Z. Borevich, S. Vostokov, “Koltso tselykh elementov rasshireniya prostoi stepeni lokalnogo polya kak modul Galua”, Zap. nauchn. semin. LOMI, 31, 1973, 24–37 | MR | Zbl

[4] I. Fesenko and S. Vostokov, Local field and their extensions: A constructive approach, AMS, Providence, RI, 1993 | MR | Zbl

[5] J.-P. Serre, Local fields, Graduate Texts Mathematics, 67, Springer-Verlag, Berlin–Heidelberg–New York, 1979 | MR | Zbl