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Matematicheskie Trudy, 2007, Volume 10, Number 2, Pages 92–111 (Mi mt22)  
This article is cited in 1 scientific paper (total in 1 paper)

Two Theorems on Defect-Freeness for Cyclic Extensions

Yu. L. Ershov

Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences
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Abstract: The article contains the proofs of two theorems. Under quite special assumptions, we prove that the $p$-cyclic extensions of Henselian valued fields are defect-free. However, the well-known results by Epp and Kuhlmann are easy consequences of these theorems.
Key words: Henselian valued fields.
Received: 30.05.2007
English version:
Siberian Advances in Mathematics, 2008, Volume 18, Issue 1, Pages 30–43
DOI: https://doi.org/10.3103/S1055134408010033
Bibliographic databases:
UDC: 512.52
Language: Russian
Citation: Yu. L. Ershov, “Two Theorems on Defect-Freeness for Cyclic Extensions”, Mat. Tr., 10:2 (2007), 92–111; Siberian Adv. Math., 18:1 (2008), 30–43
Citation in format AMSBIB
\Bibitem{Ers07}
\by Yu.~L.~Ershov
\paper Two Theorems on Defect-Freeness for Cyclic Extensions
\jour Mat. Tr.
\yr 2007
\vol 10
\issue 2
\pages 92--111
\mathnet{http://mi.mathnet.ru/mt22}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2382418}
\transl
\jour Siberian Adv. Math.
\yr 2008
\vol 18
\issue 1
\pages 30--43
\crossref{https://doi.org/10.3103/S1055134408010033}
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математические труды Siberian Advances in Mathematics
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    References:83
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