Derivations in prime rings
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Saudi Digital Library
Abstract
In this project, we study derivations and Jordan derivations in prime rings. We present
a well-know result given by E. Posner about the composition of derivations. Also a
relationship between commutativity of a ring and the existence of a non-zero derivation
is presented. Finally, we present a well-know result by I. Herstein which states that
every Jordan derivation on a prime ring of characteristic not equal to 2 is a derivation