Trudy Matematicheskogo Instituta imeni V.A. Steklova
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Forthcoming papers
Archive
Impact factor
Guidelines for authors
License agreement

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Trudy Mat. Inst. Steklova:
Year:
Volume:
Issue:
Page:
Find




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

Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2016, Volume 294, Pages 54–75
DOI: https://doi.org/10.1134/S0371968516030031 (Mi tm3731) 		 
This article is cited in 10 scientific papers (total in 10 papers)

Continuous homomorphisms between algebras of iterated Laurent series over a ring

Sergey O. Gorchinskiy, Denis V. Osipov

Steklov Mathematical Institute of Russian Academy of Sciences, ul. Gubkina 8, Moscow, 119991 Russia
Full-text PDF (312 kB) Citations (10)
References:
PDF
HTML
DOI: https://doi.org/10.1134/S0371968516030031
Abstract: We study continuous homomorphisms between algebras of iterated Laurent series over a commutative ring. We give a full description of such homomorphisms in terms of discrete data determined by the images of parameters. In similar terms, we give a criterion of invertibility of an endomorphism and provide an explicit formula for the inverse endomorphism. We also study the behavior of the higher dimensional residue under continuous homomorphisms.
Funding agency Grant number
Russian Science Foundation 14-50-00005
This work is supported by the Russian Science Foundation under grant 14-50-00005.
Received: April 19, 2016
English version:
Proceedings of the Steklov Institute of Mathematics, 2016, Volume 294, Pages 47–66
DOI: https://doi.org/10.1134/S0081543816060031
Bibliographic databases:
Document Type: Article
UDC: 512.71
Language: Russian
Citation: Sergey O. Gorchinskiy, Denis V. Osipov, “Continuous homomorphisms between algebras of iterated Laurent series over a ring”, Modern problems of mathematics, mechanics, and mathematical physics. II, Collected papers, Trudy Mat. Inst. Steklova, 294, MAIK Nauka/Interperiodica, Moscow, 2016, 54–75; Proc. Steklov Inst. Math., 294 (2016), 47–66
Citation in format AMSBIB
\Bibitem{GorOsi16}
\by Sergey~O.~Gorchinskiy, Denis~V.~Osipov
\paper Continuous homomorphisms between algebras of iterated Laurent series over a~ring
\inbook Modern problems of mathematics, mechanics, and mathematical physics.~II
\bookinfo Collected papers
\serial Trudy Mat. Inst. Steklova
\yr 2016
\vol 294
\pages 54--75
\publ MAIK Nauka/Interperiodica
\publaddr Moscow
\mathnet{http://mi.mathnet.ru/tm3731}
\crossref{https://doi.org/10.1134/S0371968516030031}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3628492}
\elib{https://elibrary.ru/item.asp?id=26601050}
\transl
\jour Proc. Steklov Inst. Math.
\yr 2016
\vol 294
\pages 47--66
\crossref{https://doi.org/10.1134/S0081543816060031}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000386554900003}
\elib{https://elibrary.ru/item.asp?id=27577448}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84992036649}
Linking options:
  • https://www.mathnet.ru/eng/tm3731
  • https://doi.org/10.1134/S0371968516030031
  • https://www.mathnet.ru/eng/tm/v294/p54
    • Related presentations:
    This publication is cited in the following 10 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Труды Математического института имени В. А. Стеклова Proceedings of the Steklov Institute of Mathematics
    Statistics & downloads:
    Abstract page:490
    Full-text PDF :85
    References:48
    First page:8
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024