Pair of Generalized Derivations and Lie Ideals in Prime Rings

2016
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Authors: Basudeb Dhara; Asma Ali; Shahoor Khan
Published in: Algebra and its Applications
Publisher: Springer Singapore

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Abstract

Let R be a prime ring and \(F, G: R\rightarrow R\) be two generalized derivations of R such that \(F^2+G\) is n-commuting or n-skew-commuting on a nonzero square closed Lie ideal U of R. In the present paper we prove under certain conditions that \(U\subseteq Z(R)\).

Notes

First author is supported by a grant from National Board for Higher Mathematics (NBHM), India. Grant No. is NBHM/R.P. 26/ 2012/Fresh/1745 dated 15.11.12.

Second author is supported by a grant from Science and Engineering Research Board (SERB), DST, New Delhi, India. Grant No. SR/S4/MS:852/13.

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Metadata
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Title: Pair of Generalized Derivations and Lie Ideals in Prime Rings
Authors: Basudeb Dhara
Asma Ali
Shahoor Khan
Publisher: Springer Singapore
Book: Algebra and its Applications
Print ISBN: 978-981-10-1650-9

Electronic ISBN: 978-981-10-1651-6

Copyright Year: 2016
DOI: https://doi.org/10.1007/978-981-10-1651-6_22

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