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Zapiski Nauchnykh Seminarov POMI, 2011, Volume 394, Pages 174–193 (Mi znsl4632)  
This article is cited in 5 scientific papers (total in 5 papers)

Canonical basis of Hensel–Shafarevich in complete discrete valuation fields

S. V. Vostokov

Saint-Petersburg State University, Saint-Petersburg, Russia
Full-text PDF (665 kB) Citations (5)
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Abstract: Starting with Hensel's generating set of principal units, we construct a base of the module of principal units, in the multiplicative group of a complete descrete valuation field with the residue field of prime characteristic we prove the uniqueness of the above base, and as a corollary, the uniqueness of the canonical Shafarevich base.
Key words and phrases: complete discrete valuation field, $p$-basis, Hensel's representatives, Shafarevich's basis.
Received: 27.09.2011
English version:
Journal of Mathematical Sciences (New York), 2013, Volume 188, Issue 5, Pages 570–581
DOI: https://doi.org/10.1007/s10958-013-1148-5
Bibliographic databases:
Document Type: Article
UDC: 512.7
Language: Russian
Citation: S. V. Vostokov, “Canonical basis of Hensel–Shafarevich in complete discrete valuation fields”, Problems in the theory of representations of algebras and groups. Part 22, Zap. Nauchn. Sem. POMI, 394, POMI, St. Petersburg, 2011, 174–193; J. Math. Sci. (N. Y.), 188:5 (2013), 570–581
Citation in format AMSBIB
\Bibitem{Vos11}
\by S.~V.~Vostokov
\paper Canonical basis of Hensel--Shafarevich in complete discrete valuation fields
\inbook Problems in the theory of representations of algebras and groups. Part~22
\serial Zap. Nauchn. Sem. POMI
\yr 2011
\vol 394
\pages 174--193
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl4632}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2870174}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2013
\vol 188
\issue 5
\pages 570--581
\crossref{https://doi.org/10.1007/s10958-013-1148-5}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84884418637}
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    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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