| Autor: |
Siddeeque, Mohammad Aslam, Shikeh, Abbas Hussain |
| Zdroj: |
Journal of Algebra & Its Applications; Dec2024, Vol. 23 Issue 14, p1-16, 16p |
| Abstrakt: |
Let S be a unital prime ∗-ring containing a nontrivial symmetric idempotent and let m s (S) be the maximal symmetric ring of quotients of S. Using the technique of Peirce decomposition and the theory of functional identities, we prove that a map : S → m s (S) satisfies (u v ∗ + v u ∗) = (u) v ∗ + (v) u ∗ + u (v) ∗ + v (u) ∗ for all u , v ∈ S if and only if is an additive ∗-derivation unless dim S = 4 and char(S) = 2. As an application, we shall characterize such maps in different operator algebras. [ABSTRACT FROM AUTHOR] |
| Databáze: |
Complementary Index |
| Externí odkaz: |
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