Author/Authors :
Oukhtite, L Laboratory of Modeling and Mathematical Structures - Department of Mathematics Faculty of Science and Technology University, Morocco , EL Mir, H Laboratory of Modeling and Mathematical Structures - Department of Mathematics Faculty of Science and Technology University, Morocco , Nejjar, B. Department of Mathematics - Faculty of Science - University Ibn Tofa¨ıl Kenitra, Morocco
Abstract :
In this paper we present some commutativity theorems for prime
rings R with involution ∗ of the second kind in which endomorphisms satisfy
certain algebraic identities. Furthermore, we provide examples to show that
various restrictions imposed in the hypotheses of our theorems are not superfluous
Keywords :
Prime ring , involution , commutativity , endomorphism
