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TR
Semiprime Rings with Multiplicative Generalized Derivations on Lie Ideals
Abstract
Let be a torsion free semiprime ring. In [10], a map is called a multiplicative
generalized derivation if there exists a map such that for all . Let be a noncentral square-closed Lie
ideal of and multiplicative generalized
derivations associated to the maps of respectively such that and for all
In the present paper, we shall prove that is commuting map on if any one of the following
holds: i) ii) If any one of the
conditions iii) and iv) for all are satisfied,
Keywords
References
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- [4]. Awtar, R., Lie structure in prime rings with derivations, Publ. Math. Debrecen , 31, 209-215, 1984.
- [5]. Bell, H. E., Daif, M. N., On commutativity and strong commutativity preserving maps, Canad. Math. Bull., 37(4), 443-447, 1994.
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- [7]. Bresar, M., On the distance of the compositions of two derivations to the generalized derivations, Glasgow Math. J., 33 (1), 89-93, 1991.
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Details
Primary Language
English
Subjects
-
Journal Section
Research Article
Authors
Publication Date
September 30, 2017
Submission Date
May 15, 2017
Acceptance Date
June 5, 2017
Published in Issue
Year 1970 Volume: 38 Number: 3