*-alpha-derivation on prime *-rings

Document Type : Research Paper

Author

Department of Mathematics, Aligarh Muslim University, Aligarh, India

Abstract

Let be an associative ring with involution . An additive map λλ of into itself is called an involution if the following conditions are satisfied (i)(λμ)=μλ, (ii)(λ)=λ  for all λ,μ. A ring equipped with an involution is called an -ring or ring with involution. The aim of the present paper is to establish some results on -α-derivations in -rings and investigate the commutativity of prime -rings admitting -α-derivations on satisfying certain identities also prove that if admits a reverse -α-derivation δ of , then αZ() and some related results have also been discussed.

Keywords