Higher Jordan triple derivations on ∗-type trivial extension algebras

Abstract

In this paper, we investigated the problem of describing the form of higher Jordan triple derivations on trivial extension algebras. We show that every higher Jordan triple derivation on a $ 2 $-torsion free $ * $-type trivial extension algebra is a sum of a higher derivation and a higher anti-derivation. As for its applications, higher Jordan triple derivations on triangular algebras are characterized.

Keywords

• derivation
• anti-derivation
• higher derivation
• higher anti-derivation
• higher jordan triple derivation