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Chelyabinskiy Fiziko-Matematicheskiy Zhurnal, 2023, Volume 8, Issue 2, Pages 228–237
DOI: https://doi.org/10.47475/2500-0101-2023-18206 (Mi chfmj325) 		 
Mathematics

A characterization of local derivations on low-dimension Jordan algebras

F. N. Arzikulovab, O. O. Nuriddinovb

a Institute of Mathematics named after V.I. Romanovsky of the Academy of Sciences of Uzbekistan, Tashkent, Uzbekistan
b Andijan State University, Andijan, Uzbekistan
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DOI: https://doi.org/10.47475/2500-0101-2023-18206
Abstract: We consider local derivations on finite-dimensional Jordan algebras. We developed a technique for the description of the vector space of local derivations on an arbitrary low-dimension Jordan algebra. We also give a description of local derivations on some Jordan algebras of dimension four.
Keywords: Jordan algebra, derivation, local derivation, nilpotent element.
Received: 16.04.2022
Revised: 14.06.2023
Document Type: Article
UDC: 518.517
Language: English
Citation: F. N. Arzikulov, O. O. Nuriddinov, “A characterization of local derivations on low-dimension Jordan algebras”, Chelyab. Fiz.-Mat. Zh., 8:2 (2023), 228–237
Citation in format AMSBIB
\Bibitem{ArzNur23}
\by F.~N.~Arzikulov, O.~O.~Nuriddinov
\paper A characterization of local derivations on low-dimension Jordan algebras
\jour Chelyab. Fiz.-Mat. Zh.
\yr 2023
\vol 8
\issue 2
\pages 228--237
\mathnet{http://mi.mathnet.ru/chfmj325}
\crossref{https://doi.org/10.47475/2500-0101-2023-18206}
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