Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
7698578 | Journal of Taibah University for Science | 2017 | 6 Pages |
Abstract
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:Aâ(A/P) is a Jordan derivation such that dim{d(a)|aâA}â¤1. If d(P)={0}, then d is zero. As an application of this result, we prove that if A is an algebra such that âPâΣ(A)P={0}, where Σ(A) denotes the set of all semi-prime ideals of A, and further each semi-prime ideal of A is of codimension 1, then A is commutative.
Related Topics
Physical Sciences and Engineering
Chemistry
Chemistry (General)
Authors
Z. Jokar, A. Hosseini, A. Niknam,