Year: 2020
Type: preprint
Abstract: In the present paper, we prove that a local derivation on the octonion (Cayley) algebra $\mathbb{O}$ over an arbitrary field, satisfying some conditions is a derivation, and every 2-local derivation on $\mathbb{O}$ is a Jordan derivation.
Source: arXiv (Cornell University)
Authors: Arzikulov, F. N., Karimjanov, I. A., Uguz, S.
Institution: Andijan State University
Language: English
Topic: Advanced Topics in Algebra
Subfield: Algebra and Number Theory
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
Funder: Xunta de Galicia
Awards: G1496055848, G5296777416, G8583257827
OpenAlex ID: W3097372136