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Zapiski Nauchnykh Seminarov POMI, 2003, Volume 305, Pages 18–43 (Mi znsl860)  
On identities and varieties of associative algebras of finite type

S. K. Vasiliev

Saint-Petersburg State University
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Abstract: Varieties, where each finitely generated relatively free algebra is finitely defined, are considered. Description of such varieties with identities is obtained and a number of their structural properties is found.
Received: 06.12.2003
English version:
Journal of Mathematical Sciences (New York), 2005, Volume 130, Issue 3, Pages 4651–4664
DOI: https://doi.org/10.1007/s10958-005-0360-3
Bibliographic databases:
UDC: 512
Language: Russian
Citation: S. K. Vasiliev, “On identities and varieties of associative algebras of finite type”, Problems in the theory of representations of algebras and groups. Part 10, Zap. Nauchn. Sem. POMI, 305, POMI, St. Petersburg, 2003, 18–43; J. Math. Sci. (N. Y.), 130:3 (2005), 4651–4664
Citation in format AMSBIB
\Bibitem{Vas03}
\by S.~K.~Vasiliev
\paper On identities and varieties of associative algebras of finite type
\inbook Problems in the theory of representations of algebras and groups. Part~10
\serial Zap. Nauchn. Sem. POMI
\yr 2003
\vol 305
\pages 18--43
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl860}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2033612}
\zmath{https://zbmath.org/?q=an:1144.16309}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2005
\vol 130
\issue 3
\pages 4651--4664
\crossref{https://doi.org/10.1007/s10958-005-0360-3}
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