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.