Title of article :
More on the Generalized (m,n)-Jordan Derivations and Centralizers on Certain Semiprime Rings
Author/Authors :
Bennis ، Driss Centre de Recherche de Mathématiques et Applications de Rabat (CeReMAR), Faculty of Sciences - Mohammed V University in Rabat , Dhara ، Basudeb Department of Mathematics - Belda College , Fahid ، Brahim Superior School of Technology - Ibn Tofail University
Abstract :
In this paper, we give an affirmative answer to two conjectures on generalized (m, n)-Jordan derivations and generalized (m, n)-Jordan centralizers raised in Ali and Fošner(Algebra Colloq 21:411–420, 2014) and Fošner (Demonstr Math 46:254–262, 2013). Precisely, when R is a semiprime ring, we prove, under some suitable torsion restrictions, that every nonzero generalized (m, n)-Jordan derivation (resp., a generalized (m, n)-Jordan centralizer) is a derivation (resp., a two-sided centralizer).
Keywords :
Semiprime ring , Generalized (m , n) , derivation , Generalized (m , n) , Jordan derivation , (m , n) , Jordan centralizer , Generalized (m , n) , Jordan centralizer
Journal title :
Bulletin of the Iranian Mathematical Society
Journal title :
Bulletin of the Iranian Mathematical Society
