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Some conditions under which Jordan derivations are zero

Some conditions under which Jordan derivations are zero

In the current article, we obtain the following results: Let A be an algebra and P be a semi-prime ideal of A. Suppose that d:A→(A/P) is a Jordan derivation such that dim{d(a)|a∈A}≤1. If d(P)={0}, then d is zero. As an application of this result, we prove that if A is …