Sbornik: Mathematics
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
Submit a manuscript

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Mat. Sb.:
Year:
Volume:
Issue:
Page:
Find




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

Sbornik: Mathematics, 2008, Volume 199, Issue 5, Pages 707–753
DOI: https://doi.org/10.1070/SM2008v199n05ABEH003940 (Mi sm3890) 		 
This article is cited in 5 scientific papers (total in 5 papers)

Radical of a relatively free associative algebra over fields of positive characteristic

L. M. Samoilov

Ulyanovsk State University
English version PDF (524 kB) Citations (5) Russian version article
References:
PDF
HTML
DOI: https://doi.org/10.1070/SM2008v199n05ABEH003940
Abstract: The following Kemer problem on the nilindex of the radical is solved: it is shown that the Jacobson radical of a relatively free associative algebra over an infinite field of positive characteristic is a nilideal of bounded index. A basis of the identities with forms for matrix algebras over infinite fields of positive characteristic is described.
Bibliography: 10 titles.
Received: 31.05.2007
Bibliographic databases:
UDC: 512.552.4
MSC: Primary 46L10; Secondary 47C15
Language: English
Original paper language: Russian
Citation: L. M. Samoilov, “Radical of a relatively free associative algebra over fields of positive characteristic”, Sb. Math., 199:5 (2008), 707–753
Citation in format AMSBIB
\Bibitem{Sam08}
\by L.~M.~Samoilov
\paper Radical of a~relatively free associative algebra over fields of positive characteristic
\jour Sb. Math.
\yr 2008
\vol 199
\issue 5
\pages 707--753
\mathnet{http://mi.mathnet.ru/eng/sm3890}
\crossref{https://doi.org/10.1070/SM2008v199n05ABEH003940}
\mathscinet{https://mathscinet.ams.org/mathscinet-getitem?mr=2421806}
\zmath{https://zbmath.org/?q=an:1168.16010}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000259031600005}
\elib{https://elibrary.ru/item.asp?id=20359329}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-52049123589}
Linking options:
  • https://www.mathnet.ru/eng/sm3890
  • https://doi.org/10.1070/SM2008v199n05ABEH003940
  • https://www.mathnet.ru/eng/sm/v199/i5/p81
    • 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
    		Математический сборник Sbornik: Mathematics
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2025