Year: 2025
Type: article
Abstract: Let A be a unital *-algebra containing a nontrivial projection, N be the set of non-negative integers. Under some mild conditions on A, it is shown that any nonlinear mixed Jordan triple *-higher derivation D={dn}n∈N is an additive *-higher derivation. In particular, we apply the above result to prime *-algebras and von Neumann algebras with no central summands of type I1.
Language: English
Topic: Advanced Topics in Algebra
Subfield: Algebra and Number Theory
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
Award: G7748404646
OpenAlex ID: W7111119262
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