Local and 2-Local 1\2-Derivations of Octonion and Okubo Algebras

EasyChair Preprint 15782

5 pages•Date: January 30, 2025

Bakhtiyor Yusupov, Khusainboy Atajonov and Nazokat Mahmudova

Abstract

In this work, we introduce the notion of local and 2-local 1\2-derivations and describe local and 2-local 1\2-derivation of the octonion and Okubo algebras. We prove that every local and 2-local 1\2-derivation on the octonion and Okubo algebras is a 1\2-derivation.

Keyphrases: 1\2-derivation, Octonion algebra, Okubo algebra, local 1\2-derivation

Links:

https://easychair.org/publications/preprint/N2NZ

BibTeX entry

BibTeX does not have the right entry for preprints. This is a hack for producing the correct reference:

@booklet{EasyChair:15782,
  author    = {Bakhtiyor Yusupov and Khusainboy Atajonov and Nazokat Mahmudova},
  title     = {Local and 2-Local 1\2-Derivations of Octonion and Okubo Algebras},
  howpublished = {EasyChair Preprint 15782},
  year      = {EasyChair, 2025}}

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