
ABSTRACTLet R be a semiprime ring with an anti-automorphism τ, which is of finite order. It is proved that if [[…[τ(x),xn1],…],xnk]=0 for all x∈R, where n1,n2,…,nk are k fixed positive integers, then τ is a commuting map. Moreover, commuting anti-automorphisms of semiprime rings are also characterized.
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