학술저널
THE RESULTS CONCERNING JORDAN DERIVATIONS
- 충청수학회
- Journal of the Chungcheong Mathematical Society
- Volume 29, No. 4
-
2016.11523 - 530 (8 pages)
- 2
Let R be a 3!-torsion free semiprime ring, and let D : R → R be a Jordan derivation on a semiprime ring R. In this case, we show that [D(x), x]D(x) = 0 if and only if D(x)[D(x), x] = 0 for every x ∈ R. In particular, let A be a Banach algebra with rad(A). If D is a continuous linear Jordan derivation on A, then we see that [D(x), x]D(x) ∈ rad(A) if and only if [D(x), x]D(x) ∈ rad(A) for all x ∈ A.
1. Introduction
2. Preliminaries
3. Main results
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