Non-linear n-tuple AB + BA Derivations on ∗-algebras

CRC Press eBooks 2026 Book chapter

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Authors: Vahid Darvish, Svetlin G. Georgiev, G. Ugwunnadi, B. Kaymakcalan
DOI: 10.1201/9781003647355-9
Cited by: 0

Abstract

Let A be a prime ∗-algebra and Φ : A→A n-tuple new product derivations on A, that is, for every A1,A2, . . . ,An ∈ A, Φ(A1 ⋄A2 ⋄ . . . ⋄An) = Φ(A1) ⋄A2 ⋄ . . . ⋄An+A1 ⋄Φ(A2) ⋄ . . . ⋄An +. . .+A1 ⋄A2 ⋄ . . . ⋄Φ(An) where Ai ⋄Aj = A∗i Aj +A∗j Ai for i, j ∈ N. Then Φ is additive ∗-derivation.

Fields of Study & Subjects

Advanced Topics in Algebra Advanced Operator Algebra Research Rings Modules and Algebras

Publication details

Journal / source
CRC Press eBooks
Pages
143–156
Publication date
23 February 2026
Language
EN
Document type
Book chapter