Research Article

GENERALIZED REVERSE DERIVATIONS ON CLOSED LIE IDEALS

Volume: 2 Number: 3 July 31, 2018
EN

GENERALIZED REVERSE DERIVATIONS ON CLOSED LIE IDEALS

Abstract

 In this study, we investigate commutavity of prime ring R with generalized reverse derivations F and G. Also, we proved that if L is a square closed Lie ideal, then L is contained in center Z (R) under given conditions in theorems.

Keywords

References

  1. References [1] ABUABAKAR A., GONZALEZ S.,2015 Generalized Reverse Derivations on Semiprime Rings, Siberian Math. Journal,56(2),199-205. [2] AL-OMARY R. M., REHMAN N., 2016 Lie Ideals and Centralizeing Mappings with Generalized Derivations, Journal of Scientific Research and Reports, 11(3), 1-8. [3] BRESAR M., 1991, On the Distance of the Composition of Two Derivations to the Generalized Derivations, Glaskow Math. J., 33, 89-93. [4] BRESAR M., VUKMAN J., 1989, On some Additive Mappings in Rings with Involution, Aequation Math., 38, 178-185. [5] POSNER E., 1957, Derivations in Prime Rings, Proc. Amer. Marh. Soc., 8, 1093-1100. [6] REHMAN N., 2002, On commutativity of Rings with Generalized Derivations, Math. J. Okayama Univ., 44, 43-49. [7] REHMAN N, HANGAN, M. and AL-OMARY R. M., 2014, Centralizing Mappings, Morita Context and Generalized (α,β)−derivations, J. Taibah Univ. Sci., 8(4), 370-374.

Details

Primary Language

English

Subjects

-

Journal Section

Research Article

Authors

Özge Atay This is me
Türkiye

Publication Date

July 31, 2018

Submission Date

June 10, 2018

Acceptance Date

July 17, 2018

Published in Issue

Year 1970 Volume: 2 Number: 3

APA
Atay, Ö., Aydın, N., & Albayrak, B. (2018). GENERALIZED REVERSE DERIVATIONS ON CLOSED LIE IDEALS. Journal of Scientific Perspectives, 2(3), 61-74. https://izlik.org/JA77AP49BW