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GENERALIZED REVERSE DERIVATIONS ON CLOSED LIE IDEALS

Year 2018, Volume: 2 Issue: 3, 61 - 74, 31.07.2018

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.

References

  • 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.
Year 2018, Volume: 2 Issue: 3, 61 - 74, 31.07.2018

Abstract

References

  • 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.
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Details

Primary Language English
Journal Section Basic Sciences and Engineering
Authors

Özge Atay This is me

Neşet Aydın

Barış Albayrak

Publication Date July 31, 2018
Published in Issue Year 2018 Volume: 2 Issue: 3

Cite

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