Author/Authors :
Ekrami, Khalil Department of Mathematics - Payame Noor University, Tehran , Mirzavaziri, Madjid Department of Pure Mathematics and Center of Excellence in Analysis on Algebraic Structures (CEAAS) - Ferdowsi University of Mashhad, Mashhad , Ebrahimi Vishki, Hamid Reza Department of Pure Mathematics and Center of Excellence in Analysis on Algebraic Structures (CEAAS) - Ferdowsi University of Mashhad, Mashhad
Abstract :
These considerations show that the set of derivations on an algebra A is not in general closed
under product. There are various researches seeking for some conditions under which the product
of two derivations will be again a derivation. Posner [9] was the rst one who studied the product
of two derivations on a prime ring. He showed that if the product of two derivations on a prime
ring, with characteristic not equal to 2, is a derivation then one of them must be equal to zero.
