Zapiski Nauchnykh Seminarov POMI
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Zap. Nauchn. Sem. POMI:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

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)
References:
PDF
HTML
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}
Linking options:
  • https://www.mathnet.ru/eng/znsl5660
  • 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
    		Записки научных семинаров ПОМИ
    Statistics & downloads:
    Abstract page:217
    Full-text PDF :68
    References:30
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024