Commutativity of Involutorial Rings with Constraints on Left Multipliers

Authors

  • L. Oukhtite Université Moulay Ismaí¯l, Faculté des Sciences et Techniques, Déepartement de Mathématiques, Groupe d'Algèebre et Applications, B.P. 509 Boutalamine, Errachidia;
  • L. Taoufiq Université Moulay Ismaí¯l, Faculté des Sciences et Techniques, Déepartement de Mathématiques, Groupe d'Algèebre et Applications, B.P. 509 Boutalamine, Errachidia;

DOI:

https://doi.org/10.26713/cma.v2i1.128

Keywords:

Rings with involution, $\ast$-prime rings, Generalized derivations, Commutativity

Abstract

Let $(R, \ast)$ be a ring with involution and let $Z(R)$ be the center of $R$. The purpose of this paper is to explore the commutativity of $R$ if it admits a left multiplier $F$ satisfying certain identities on Lie ideals. Furthermore, some results for left multipliers in prime rings are extended to Lie ideals. Finally, examples are given to prove that the restrictions imposed on the hypothesis of the various theorems were not superfluous.

Downloads

Download data is not yet available.

Downloads

CITATION

How to Cite

Oukhtite, L., & Taoufiq, L. (2011). Commutativity of Involutorial Rings with Constraints on Left Multipliers. Communications in Mathematics and Applications, 2(1), 15–20. https://doi.org/10.26713/cma.v2i1.128

Issue

Vol. 2 No. 1 (2011)

Section

Research Article

License

Creative Commons Licence 4.0 by  

Authors who publish with this journal agree to the following terms:

  • Authors retain copyright and grant the journal right of first publication with the work simultaneously licensed under a CCAL that allows others to share the work with an acknowledgement of the work's authorship and initial publication in this journal.
  • Authors are able to enter into separate, additional contractual arrangements for the non-exclusive distribution of the journal's published version of the work (e.g., post it to an institutional repository or publish it in a book), with an acknowledgement of its initial publication in this journal.
  • Authors are permitted and encouraged to post their work online (e.g., in institutional repositories or on their website) prior to and during the submission process, as it can lead to productive exchanges, as well as earlier and greater citation of published work.