Division algebras satisfying $(x^p,x^q,x^r)=0$

Oumar Diankha, Abdellatif Rochdi, Mohamed Traoré

We study algebras $A,$ over a field of characteristic zero, satisfying $(x^p,x^q,x^r)=0$ for $p,q,r$ in $1,2.$ The existence of a unit element in such algebras leads to the…