M. V. Bondarko, S. V. Vostokov, “A decomposition of ideals in an Abelian <nobr>$p$</nobr>-extension of complete discretely valuated fields.”, Zap. Nauchn. Sem. POMI, 1997, Volume 236,Pages <nobr>23

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A decomposition of ideals in an Abelian $p$-extension of complete discretely valuated fields.

M. V. Bondarko, S. V. Vostokov

Saint-Petersburg State University

Abstract: 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.

UDC: 512.48

Received: 01.12.1997