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Zapiski Nauchnykh Seminarov POMI, 2019, Volume 482, Pages 73–86 (Mi znsl6827)  
Length of a direct sum of nonassociative algebras

A. E. Gutermanab, D. K. Kudryavtseva, O. V. Markovaab

a Lomonosov Moscow State University
b Moscow Institute of Physics and Technology (National Research University), Dolgoprudny, Moscow Region
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Abstract: A lower and an upper bounds for the length of a direct sum of nonassociative algebras are obtained, and their sharpness is established. Note that while the lower bound for the length of a direct sum in the associative and nonassociative cases turns out to be the same, the upper bound in the nonassociative case significantly exceeds its associative counterpart.
Key words and phrases: non-associative algebra, length of an algebra, direct sum.
Funding agency Grant number
Foundation for the Development of Theoretical Physics and Mathematics BASIS 18-2-6-149-1
Russian Foundation for Basic Research 17-01-00895_а
Received: 08.10.2019
Document Type: Article
UDC: 512.554.1
Language: Russian
Citation: A. E. Guterman, D. K. Kudryavtsev, O. V. Markova, “Length of a direct sum of nonassociative algebras”, Computational methods and algorithms. Part XXXII, Zap. Nauchn. Sem. POMI, 482, POMI, St. Petersburg, 2019, 73–86
Citation in format AMSBIB
\Bibitem{GutKudMar19}
\by A.~E.~Guterman, D.~K.~Kudryavtsev, O.~V.~Markova
\paper Length of a direct sum of nonassociative algebras
\inbook Computational methods and algorithms. Part~XXXII
\serial Zap. Nauchn. Sem. POMI
\yr 2019
\vol 482
\pages 73--86
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl6827}
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