2 citations · 7 across the 5 of their papers we have counts for
5 papers
Division algebras satisfying
Oumar Diankha, Abdellatif Rochdi, Mohamed Traoré
We study algebras over a field of characteristic zero, satisfying for in The existence of a unit element in such algebras leads to the…
Classification of the Absolute-Valued Algebras with Left-Unit Satisfying x2(x2)2 = (x2)2x2
Alassane Diouf, Maribel Ramirez, Abdellatif Rochdi
We show that every absolute-valued algebra with left-unit satisfying (x2; x2; x2) = 0 is finite-dimensional of degree at most 4: Next, we determine such an algebras. In addition to…
On finite-dimensional absolute-valued algebras satisfying (x^p,x^q,x^r)=0
A. Chandid, M. I. Ramirez, A. Rochdi
By means of principal isotopes lH(a,b) of the algebra lH [Ra 99] we give an exhaustive and not repetitive description of all 4-dimensional absolute-valued algebras satisfying (x^p,…
Algebres non associatives normees de division. Classification des algebres reelles de Jordan non commutatives de division lineaire de dimension 8
Abdellatif Rochdi
In this work we are interested in the general problem of the determination of the normed division algebras. Our fundamental results are obtained in the particular subclass of those…
Classification of the four-dimensional power-commutative real division algebras
Erik Darpö, Abdellatif Rochdi
A classification of all four-dimensional power-commutative real division algebras is given. It is shown that every four-dimensional power-commutative real division algebra is an is…