Commuting Traces of Multiadditive Mappings Original Research Article

LetRbe a prime ring andMann-additive mapping onRsuch that [M(x,…,x), x] = 0 for allx set membership, variant R. If char R = 0 or > n, then there exist mappings μiofRinto the extended centroidCofRsuch thatimagefor allx set membership, variant R. If, in addition,Ris not algebraic of bounded degree ≤ n, then for eachithere exists ani-additive mappingMiofRiintoCsuch that μi(x) = Mi(x,…,x) for allx set membership, variant R.