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Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, 2013, Volume 13, Issue 4(2), Pages 124–129
DOI: https://doi.org/10.18500/1816-9791-2013-13-4-124-129 (Mi isu472) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Mathematics

New properties of varieties of Leibnitz algebras

T. V. Skorayaa, A. V. Svetsovaab

a Ulyanovsk State University, Russia, 432017, Ulyanovsk, Lev Tolstoy str., 42
b Federal research and production center Open joint stock company "Scientific and production association "Mars", Russia, 432022, Ulyanovsk, Solnechnaya str., 20
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DOI: https://doi.org/10.18500/1816-9791-2013-13-4-124-129
Abstract: The paper is devoted to two new results concerning varieties of Leibnitz algebras over a field of the zero characteristic. Here is proved the sufficient condition for a variety of Leibnitz algebras to have a finite colength. Here is also defined the basis of identities and the basis of multilinear part of variety $\widetilde{\mathbf V}_3$.
Key words: Leibnitz algebra, variety of algebras, numerical characteristic, colength, multilinear part.
Bibliographic databases:
Document Type: Article
UDC: 512.55
Language: Russian
Citation: T. V. Skoraya, A. V. Svetsova, “New properties of varieties of Leibnitz algebras”, Izv. Saratov Univ. Math. Mech. Inform., 13:4(2) (2013), 124–129
Citation in format AMSBIB
\Bibitem{SkoShv13}
\by T.~V.~Skoraya, A.~V.~Svetsova
\paper New properties of varieties of Leibnitz algebras
\jour Izv. Saratov Univ. Math. Mech. Inform.
\yr 2013
\vol 13
\issue 4(2)
\pages 124--129
\mathnet{http://mi.mathnet.ru/isu472}
\crossref{https://doi.org/10.18500/1816-9791-2013-13-4-124-129}
\elib{https://elibrary.ru/item.asp?id=21976918}
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    • This publication is cited in the following 2 articles:
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    		Известия Саратовского университета. Новая серия. Серия Математика. Механика. Информатика
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