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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) Russian version article
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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
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”, 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 Math. USSR-Izv.
\yr 1991
\vol 37
\issue 1
\pages 69--96
\mathnet{http://mi.mathnet.ru//eng/im1071}
\crossref{https://doi.org/10.1070/IM1991v037n01ABEH002053}
\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}
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    • This publication is cited in the following 29 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Известия Академии наук СССР. Серия математическая Izvestiya: Mathematics
     
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