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Generalized Derivations on Power Values of Lie Ideals in Prime and Semiprime Rings
Joint Authors
Ansari, Abu Zaid
UR Rehman, Nadeem
De Filippis, Vincenzo
Source
International Journal of Mathematics and Mathematical Sciences
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-8, 8 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-06-03
Country of Publication
Egypt
No. of Pages
8
Main Subjects
Abstract EN
Let R be a 2-torsion free ring and let L be a noncentral Lie ideal of R, and let F:R→R and G:R→R be two generalized derivations of R.
We will analyse the structure of R in the following cases: (a) R is prime and F(um)=G(un) for all u∈L and fixed positive integers m≠n; (b) R is prime and F((upvq)m)=G((vrus)n) for all u,v∈L and fixed integers m,n,p,q,r,s≥1; (c) R is semiprime and F((uv)n)=G((vu)n) for all u,v∈[R,R] and fixed integer n≥1; and (d) R is semiprime and F((uv)n)=G((vu)n) for all u,v∈R and fixed integer n≥1.
American Psychological Association (APA)
De Filippis, Vincenzo& UR Rehman, Nadeem& Ansari, Abu Zaid. 2014. Generalized Derivations on Power Values of Lie Ideals in Prime and Semiprime Rings. International Journal of Mathematics and Mathematical Sciences،Vol. 2014, no. 2014, pp.1-8.
https://search.emarefa.net/detail/BIM-455265
Modern Language Association (MLA)
De Filippis, Vincenzo…[et al.]. Generalized Derivations on Power Values of Lie Ideals in Prime and Semiprime Rings. International Journal of Mathematics and Mathematical Sciences No. 2014 (2014), pp.1-8.
https://search.emarefa.net/detail/BIM-455265
American Medical Association (AMA)
De Filippis, Vincenzo& UR Rehman, Nadeem& Ansari, Abu Zaid. Generalized Derivations on Power Values of Lie Ideals in Prime and Semiprime Rings. International Journal of Mathematics and Mathematical Sciences. 2014. Vol. 2014, no. 2014, pp.1-8.
https://search.emarefa.net/detail/BIM-455265
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-455265