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JOURNALS // Vestnik Samarskogo Universiteta. Estestvenno-Nauchnaya Seriya // Archive

Vestnik Samarskogo Gosudarstvennogo Universiteta. Estestvenno-Nauchnaya Seriya, 2014 Issue 3(114), Pages 56–66 (Mi vsgu352)

Mathematics

Codimensions growth estimate of the varieties of dialgebras

P. S. Kolesnikova, T. V. Skorayab

a Laboratory of Rings Theory, Institute of Mathematics of the Siberian Branch of the Russian Academy of Sciences, Novosibirsk, 630090, Russian Federation
b Ulyanovsk State University, Ulyanovsk, 432017, Russian Federation

Abstract: The estimates connecting codimensions of varieties of non-associative algebras and corresponding varieties of dialgebras are obtained.

Keywords: dialgebras, Leibniz algebras, varieties of linear algebras, codimensions of varieties, growth of variety.

UDC: 512.554

Received: 06.02.2014
Revised: 06.02.2014



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