Commutativity of -Prime Rings with Generalized Derivations

  • Mohammad Ashraf

    Aligarh Muslim University, India
  • Almas Khan

    Aligarh Muslim University, India

Abstract

Let be a 2-torsion free -prime ring and be a generalized derivation of with associated derivation . If is a -Lie ideal of then in the present paper, we shall show that if admits a generalized derivation (with associated derivation ) satisfying any one of the properties: (i) , (ii) , (iii) , (iv) , (v) and (vi) for all .

Cite this article

Mohammad Ashraf, Almas Khan, Commutativity of -Prime Rings with Generalized Derivations. Rend. Sem. Mat. Univ. Padova 125 (2011), pp. 71–79

DOI 10.4171/RSMUP/125-5