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 On Automorphisms in prime rings with applications Commun. Korean Math. Soc.Published online February 23, 2021 Mohd Arif Raza King Abdulaziz University Abstract : The notions of skew-commuting/commuting/semi-commuting/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. Full-Text :