TWO METHODS OF DESCRIBING 2-LOCAL DERIVATIONS AND AUTOMORPHISMS

TWO METHODS OF DESCRIBING 2-LOCAL DERIVATIONS AND AUTOMORPHISMS

In the present paper, we investigate 2-local linear operators on vector spaces. Sufficient conditions are obtained for the linearity of a 2-local linear operator on a finite-dimensional vector space. To do this, families of matrices of a certain type are selected and it is proved that every 2-local...

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Bibliographic Details
Main Authors: Farhodjon Arzikulov, Feruza Nabijonova, Furkat Urinboyev
Format: Article
Language:English
Published: Ural Branch of the Russian Academy of Sciences and Ural Federal University named after the first President of Russia B.N.Yeltsin, Krasovskii Institute of Mathematics and Mechanics 2025-07-01
Series:Ural Mathematical Journal
Subjects:
linear operator, 2-local linear operator, leibniz algebra, zinbiel algebra, derivation, 2-local derivations, automorphism, 2-local automorphism
Online Access:https://umjuran.ru/index.php/umj/article/view/892
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