Local and 2-local derivations of the octonion algebra
published by Ikboljon Karimjanov
in 2020
and research's language is
English
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Abstract in English
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.