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Jordan left derivations and some left derivable maps

Jordan left derivations and some left derivable maps

A be an algebra and M be a left A -module.We say that a linear mapping ϕ : A → M is a left derivable mapping at P if ϕ(ST ) = Sϕ(T ) + T ϕ(S) for any S,T ∈ A with ST = P .In this paper, we …