Non-linear bi-skew Jordan derivations on *-algebra
Vahid Darvish, Mojtaba Nouri, Mehran Razeghi
Abstract
Let A be a prime *-algebra. In this paper, we suppose that ? : A ? A satisfies ?(A ? B) = ?(A) ? B + A ? ?(B) where A ? B = A*B + B*A for all A, B ? A. Then, ? is an additive *-derivation.
Topics & Concepts
MathematicsSkewAlgebra over a fieldPrime (order theory)Pure mathematicsCombinatoricsAstronomyPhysicsAdvanced Topics in AlgebraAdvanced Operator Algebra ResearchAlgebraic structures and combinatorial models