GENERALIZED REVERSE DERIVATIONS ON CLOSED LIE IDEALS


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Authors

  • Özge ATAY Çanakkale Onsekiz Mart University
  • Neşet AYDIN Çanakkale Onsekiz Mart University
  • Barış ALBAYRAK Çanakkale Onsekiz Mart University

DOI:

https://doi.org/10.26900/jsp.2018342245

Keywords:

Prime ring, Lie ideal, Reverse derivation, Generalized reverse deriva- tion

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 square closed Lieideal, then L is contained in center Z (R) under given conditions in theorems.

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References

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
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[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,
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[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 (; )

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Published

2018-07-31

How to Cite

ATAY, Özge, AYDIN, N., & ALBAYRAK, B. (2018). GENERALIZED REVERSE DERIVATIONS ON CLOSED LIE IDEALS. HEALTH SCIENCES QUARTERLY, 2(3), 61–74. https://doi.org/10.26900/jsp.2018342245

Issue

Vol. 2 No. 3 (2018)

Section

Letter to the Editor

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