Mathematics of the USSR-Izvestiya
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Forthcoming papers
Archive
Impact factor
Guidelines for authors
Submit a manuscript

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Izv. RAN. Ser. Mat.:
Year:
Volume:
Issue:
Page:
Find




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

Mathematics of the USSR-Izvestiya, 1991, Volume 37, Issue 1, Pages 69–96
DOI: https://doi.org/10.1070/IM1991v037n01ABEH002053 (Mi im1071) 		 
This article is cited in 29 scientific papers (total in 29 papers)

Identities of finitely generated algebras over an infinite field

A. R. Kemer
English version PDF (1381 kB) Citations (29)
References:
PDF
HTML
DOI: https://doi.org/10.1070/IM1991v037n01ABEH002053
Abstract: It is proved that for each finitely generated associative PI-algebra $U$ over an infinite field $F$, there is a finite-dimensional $F$-algebra $C$ such that the ideals of identities of the algebras $U$ and $C$ coincide. This yields a positive solution to the local problem of Specht for algebras over an infinite field: A finitely generated free associative algebra satisfies the maximum condition for $T$-ideals.
Received: 13.02.1989
Russian version:
Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya, 1990, Volume 54, Issue 4, Pages 726–753
Bibliographic databases:
UDC: 512.552.4
MSC: Primary 16A06, 16A38; Secondary 16A46
Language: English
Original paper language: Russian
Citation: A. R. Kemer, “Identities of finitely generated algebras over an infinite field”, Izv. Akad. Nauk SSSR Ser. Mat., 54:4 (1990), 726–753; Math. USSR-Izv., 37:1 (1991), 69–96
Citation in format AMSBIB
\Bibitem{Kem90}
\by A.~R.~Kemer
\paper Identities of finitely generated algebras over an infinite field
\jour Izv. Akad. Nauk SSSR Ser. Mat.
\yr 1990
\vol 54
\issue 4
\pages 726--753
\mathnet{http://mi.mathnet.ru/im1071}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1073084}
\zmath{https://zbmath.org/?q=an:0784.16016}
\adsnasa{https://adsabs.harvard.edu/cgi-bin/bib_query?1991IzMat..37...69K}
\transl
\jour Math. USSR-Izv.
\yr 1991
\vol 37
\issue 1
\pages 69--96
\crossref{https://doi.org/10.1070/IM1991v037n01ABEH002053}
Linking options:
  • https://www.mathnet.ru/eng/im1071
  • https://doi.org/10.1070/IM1991v037n01ABEH002053
  • https://www.mathnet.ru/eng/im/v54/i4/p726
    • This publication is cited in the following 29 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Известия Академии наук СССР. Серия математическая Izvestiya: Mathematics
    Statistics & downloads:
    Abstract page:484
    Russian version PDF:256
    English version PDF:8
    References:51
    First page:1
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024