Communications of the
Korean Mathematical Society CKMS

{The notions of skew-commuting/commuting/semi-commut\-ing/skew-centralizing/semi-centralizing mappings play an important role in ring theory. $\Ca^*$-algebras with these properties have been studied considerably less and the existing results are motivating the researchers. This article elaborates the structure of prime rings and $\Ca^*$-algebras satisfying certain functional identities involving automorphisms.}

Keywords: Prime ring, automorphism, maximal right ring of quotients, generalized polynomial identity (GPI), $\Ca^*$-algebra

MSC numbers: 16W20, 16N60, 46H20