English

Local and 2-local derivations of the octonion algebra

Rings and Algebras 2023-05-24 v4

Abstract

In the present paper, we prove that a local derivation on the octonion (Cayley) algebra O\mathbb{O} over an arbitrary field, satisfying some conditions is a derivation, and every 2-local derivation on O\mathbb{O} is a Jordan derivation.

Keywords

Cite

@article{arxiv.2010.16202,
  title  = {Local and 2-local derivations of the octonion algebra},
  author = {F. N. Arzikulov and I. A. Karimjanov and S. Uguz},
  journal= {arXiv preprint arXiv:2010.16202},
  year   = {2023}
}

Comments

We found some mistakes on the results