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, 1998, Volume 189, Issue 12, Pages 1809–1818
DOI: https://doi.org/10.1070/sm1998v189n12ABEH000375
(Mi sm375)
 

This article is cited in 9 scientific papers (total in 9 papers)

On the Baer ideal in algebras satisfying Capelli identities

K. A. Zubrilin

M. V. Lomonosov Moscow State University
References:
Abstract: The structure is investigated of the Baer ideal of a finitely generated algebra of arbitrary finite signature over an arbitrary field or over a Noetherian commutative-associative ring satisfying a system of Capelli identities of order $n+1$. It is proved that the length of the Baer chain of ideals in such an algebra is at most $n$. It is proved that the quotient of this algebra modulo the largest nilpotent ideal is representable.
Received: 20.01.1998
Bibliographic databases:
UDC: 512
MSC: Primary 16G30, 16N40; Secondary 16D80, 16R20
Language: English
Original paper language: Russian
Citation: K. A. Zubrilin, “On the Baer ideal in algebras satisfying Capelli identities”, Sb. Math., 189:12 (1998), 1809–1818
Citation in format AMSBIB
\Bibitem{Zub98}
\by K.~A.~Zubrilin
\paper On the Baer ideal in algebras satisfying Capelli identities
\jour Sb. Math.
\yr 1998
\vol 189
\issue 12
\pages 1809--1818
\mathnet{http://mi.mathnet.ru//eng/sm375}
\crossref{https://doi.org/10.1070/sm1998v189n12ABEH000375}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1686013}
\zmath{https://zbmath.org/?q=an:0932.16024}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000080632300012}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-0032251408}
Linking options:
  • https://www.mathnet.ru/eng/sm375
  • https://doi.org/10.1070/sm1998v189n12ABEH000375
  • https://www.mathnet.ru/eng/sm/v189/i12/p73
  • This publication is cited in the following 9 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Математический сборник - 1992–2005 Sbornik: Mathematics
    Statistics & downloads:
    Abstract page:312
    Russian version PDF:165
    English version PDF:24
    References:36
    First page:1
     
      Contact us:
     Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024