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Ali, Shakir; Alali, Amal S; Varshney, Vaishali
Mathematics (Basel), 05/2024, Volume: 12, Issue: 10Journal Article
Let n≥2 be a fixed integer and A be a Csup.∗-algebra. A permuting n-linear map G:Asup.n→A is known to be symmetric generalized n-derivation if there exists a symmetric n-derivation D:Asup.n→A such that G(ςsub.1,ςsub.2,…,ςsub.iςsub.i sup.′,…,ςsub.n)=G(ςsub.1,ςsub.2,…,ςsub.i,…,ςsub.n)ςsub.i sup.′+ςsub.iD(ςsub.1,ςsub.2,…,ςsub.i sup.′,…,ςsub.n) holds ∀ςsub.i,ςsub.i sup.′∈A. In this paper, we investigate the structure of Csup.∗-algebras involving generalized linear n-derivations. Moreover, we describe the forms of traces of linear n-derivations satisfying certain functional identity.
