Some Commutativity Theorems in Prime Rings with Involution and Derivations
Journal of Advances in Mathematics and Computer Science · pp. 1–6 · Published 2 Oct 2017
10.9734/JAMCS/2017/36717Abstract
Let R be a ring with involution ′∗′ . An additive map x → x* of R into itself is called an involution if (i) (xy)*= y∗x∗ and (ii) (x∗)∗ = x holds for all x,y ∈ R. An additive mapping δ: R → R is called a derivation if δ(xy) = δ(x)y + xδ(y) for all x, y ∈ R. The purpose of this paper is to examine the commutativity of prime rings with involution satisfying certain identities involving derivations.
Cited by 2
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