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Fundamentalnaya i Prikladnaya Matematika, 2023, Volume 24, Issue 3, Pages 139–152 (Mi fpm1939)  
Algebras with single defining relation

A. V. Mikhalev

Faculty of Mechanics and Mathematics, M. V. Lomonosov Moscow State University, Moscow, Russia
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Abstract: In this survey paper, we collect properties of one-relator algebras in varieties of linear algebras. The main attention is paid to Schreier varieties of algebras. A variety of linear algebras is said to be Schreier if any subalgebra of a free algebra of this variety is free.
Funding agency Grant number
Russian Science Foundation 22-11-00052
This research was partially supported by Russian Science Foundation, grant 22-11-00052.
English version:
Journal of Mathematical Sciences (New York), 2024, Volume 283, Issue 6, Pages 919–928
DOI: https://doi.org/10.1007/s10958-024-07320-9
Document Type: Article
UDC: 512.55+512.57
Language: Russian
Citation: A. V. Mikhalev, “Algebras with single defining relation”, Fundam. Prikl. Mat., 24:3 (2023), 139–152; J. Math. Sci., 283:6 (2024), 919–928
Citation in format AMSBIB
\Bibitem{Mik23}
\by A.~V.~Mikhalev
\paper Algebras with single defining relation
\jour Fundam. Prikl. Mat.
\yr 2023
\vol 24
\issue 3
\pages 139--152
\mathnet{http://mi.mathnet.ru/fpm1939}
\transl
\jour J. Math. Sci.
\yr 2024
\vol 283
\issue 6
\pages 919--928
\crossref{https://doi.org/10.1007/s10958-024-07320-9}
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