Affiliation:
1. Kashmar Higher Educations Institute
2. University of Primorska
Abstract
Let A be an algebra, and let I be a semiprime ideal of A. Suppose thatd : A → A is a Jordan left derivation such that d(I) ⊆ I.We prove that if dim{d(a)+I : a ⋲ A} ≤ 1, then d(A) ⊆ I. Additionally, we consider several consequences of this result.
Publisher
Sociedade Paranaense de Matematica
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