Some Commutativity Theorems in Prime Rings with Involution and Derivations
Journal Title: Journal of Advances in Mathematics and Computer Science - Year 2017, Vol 24, Issue 5
Abstract
Let R be a ring with involution ′∗′ . An additive map x 7→ 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.
Authors and Affiliations
Shakir Ali, Husain Alhazmi
Keywords
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- EP ID EP322437
- DOI 10.9734/JAMCS/2017/36717
- Views 67
- Downloads 0
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