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JOURNALS // Chelyabinskiy Fiziko-Matematicheskiy Zhurnal // Archive

Chelyab. Fiz.-Mat. Zh., 2023 Volume 8, Issue 2, Pages 228–237 (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

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.

UDC: 518.517

Received: 16.04.2022
Revised: 14.06.2023

Language: English

DOI: 10.47475/2500-0101-2023-18206



© Steklov Math. Inst. of RAS, 2024