Non-linear new product ½ (AB*C+CB*A) derivations on *-algebras
Year: 2025
Type: article
Abstract: Let A be a prime -algebra with unit I and a nontrivial projection. Then the map : A ! A satises in the following condition (fABCg) = f(A)BCg + fA(B)Cg + fAB(C)g where fABCg = 1 2 (ABC + CBA) for all A;B;C 2 A, is additive. Moreover, if (I) is self-adjoint, then is a -derivation.
DOI: 10.5269/bspm.65221
Author: Fariba Kazemi
Institution: University of Mazandaran
Language: English
Topic: Advanced Topics in Algebra
Subfield: Algebra and Number Theory
Field: Mathematics
Domain: Physical Sciences
Open Access status: diamond
OpenAlex ID: W4412526923
