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Zapiski Nauchnykh Seminarov POMI, 2013, Volume 413, Pages 115–133 (Mi znsl5660)  
This article is cited in 3 scientific papers (total in 3 papers)

The Shafarevich basis in higher dimensional local fields

E. V. Ikonnikova, E. V. Shaverdova

St. Petersburg State University, St. Petersburg, Russia
Full-text PDF (289 kB) Citations (3)
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Abstract: This paper presents a generalization of Shafarevich basis for $n$-dimensional local fields with perfect last residue field. We consider the group of principal units of such fields and construct its multiplicative basis.
Key words and phrases: higher dimensional local fields, the Shafarevich basis.
Received: 20.12.2012
English version:
Journal of Mathematical Sciences (New York), 2014, Volume 202, Issue 3, Pages 410–421
DOI: https://doi.org/10.1007/s10958-014-2051-4
Bibliographic databases:
Document Type: Article
UDC: 512.625
Language: Russian
Citation: E. V. Ikonnikova, E. V. Shaverdova, “The Shafarevich basis in higher dimensional local fields”, Problems in the theory of representations of algebras and groups. Part 24, Zap. Nauchn. Sem. POMI, 413, POMI, St. Petersburg, 2013, 115–133; J. Math. Sci. (N. Y.), 202:3 (2014), 410–421
Citation in format AMSBIB
\Bibitem{IkoSha13}
\by E.~V.~Ikonnikova, E.~V.~Shaverdova
\paper The Shafarevich basis in higher dimensional local fields
\inbook Problems in the theory of representations of algebras and groups. Part~24
\serial Zap. Nauchn. Sem. POMI
\yr 2013
\vol 413
\pages 115--133
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl5660}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3073061}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2014
\vol 202
\issue 3
\pages 410--421
\crossref{https://doi.org/10.1007/s10958-014-2051-4}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84919914831}
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  • https://www.mathnet.ru/eng/znsl/v413/p115
    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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