DOI: 10.1515/gmj-2026-3038 ISSN: 1072-947X

Nonlinear mixed right Jordan and left bi-skew Jordan-type derivations on *-algebra

Amal S. Alali, Md Arshad Madni, Muzibur Rahman Mozumder
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Abstract

Let

𝔄 {\mathfrak{A}}
be a unital
∗ {\ast}
-algebra over the complex field
ℂ {\mathbb{C}}
. In this work, we prove that, under suitable conditions, every nonlinear mixed right Jordan and left bi-skew Jordan n -derivation is an additive
∗ {\ast}
-derivation. The applicability of the main result is further illustrated through its extension to various significant special cases of unital
∗ {\ast}
-algebras, namely prime
∗ {\ast}
-algebras and factor von Neumann algebras.

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