Print ISSN: 1681-6900

Online ISSN: 2412-0758

Keywords : derivation


On Generalized Permuting Left 3-Derivations of Prime Rings

A. K. Faraj; S. J. Shareef

Engineering and Technology Journal, 2017, Volume 35, Issue 1, Pages 25-28

-Let R be an associative ring. Park and Jung introduced the concept of permuting 3-derivation and they are studied this concept as centralizing and commuting. The main intent of this work is to generalize Park and Jung's results by introducing the concept of generalized permuting left 3-derivation on Lie ideal.

On Left s -Centralizers Of Jordan Ideals And Generalized Jordan Left (s ,t ) -Derivations Of Prime Rings

Abdulrahman H. Majeed; Anwar Khaleel Faraj

Engineering and Technology Journal, 2011, Volume 29, Issue 3, Pages 544-553

In this paper we generalize the result of S. Ali and C. Heatinger on left s -
centralizer of semiprime ring to Jordan ideal, we proved that if R is a 2-torsion free
prime ring, U is a Jordan ideal of R and G is an additive mapping from R into
itself satisfying the conditionG(ur + ru) = G(u)s (r) + G(r)s (u) , for all
uÎU, r ÎR . Then G(ur) = G(u)s (r) , for all uÎU, r ÎR . Also, we extend the
result of S. M. A. Zaidi, M. Ashraf and S. Ali on left (s ,s )-derivation of prime ring
to Jordan ideal by introducing the concept of generalized Jordan left (s ,t )-
derivation.