Mixed Triple Jordan Derivations on Prime Algebras

Document Type : Original Article

Authors

Department of Mathematics, University of Mazandaran, Babolsar, Iran

10.22091/maa.2026.17123.1064

Abstract

Let $ \mathcal{A} $ be a unital prime algebra containing a non-trivial idempotent. For arbitrary elements $A, B \in \mathcal{A}$, the product $A \cdot B \circ A$ is called the mixed Jordan triple product, where '.' denotes usual product and '$\circ$' is Jordan product. In this paper, we consider the maps on $ \mathcal{A} $ which satisfy the condition of derivation of mixed triple Jordan product; i.e,
if \( \phi: \mathcal{A} \to \mathcal{A} \) is a bijective map which satisfies
\[
\phi(A \cdot B \circ A) = \phi(A) \cdot B \circ A + A \cdot \phi(B) \circ A + A \cdot B \circ \phi(A)
\]
for every \( A, B \in \mathcal{A} \), then we show that $ \phi $ is an additive derivation map.

Keywords

Main Subjects

Measure Algebras and Applications

Articles in Press, Accepted Manuscript
Available Online from 20 October 2026

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