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Free actions on prime and semiprime rings
Joint Authors
Source
Journal of Basrah Researches : Sciences
Issue
Vol. 37, Issue 4C (30 Sep. 2011), pp.134-137, 4 p.
Publisher
University of Basrah College of Education for Pure Sciences
Publication Date
2011-09-30
Country of Publication
Iraq
No. of Pages
4
Main Subjects
Topics
Abstract EN
Let R be an associative ring with center Z(R).
We identify some situations where mappings related to left reverse-centralizer, derivations are free actions on prime and semiprime rings.
We show that for a left reverse - centralizer of a semiprime ring R the mapping ψ:R→ R defined by ψ (x)= [T (x), X], for all x € R is a free action.
We also show that for a generalized derivation F of a semi prime ring R , if a € R is a dependent element of F, then a € Z (R).
furthermore, we prove that for a left reverse-centralizer T and a derivation d of a prime ring R, ψ = T º d isa free action.
American Psychological Association (APA)
Fadil, Fatin A.& Majid, A. H.. 2011. Free actions on prime and semiprime rings. Journal of Basrah Researches : Sciences،Vol. 37, no. 4C, pp.134-137.
https://search.emarefa.net/detail/BIM-286159
Modern Language Association (MLA)
Fadil, Fatin A.& Majid, A. H.. Free actions on prime and semiprime rings. Journal of Basrah Researches : Sciences Vol. 37, no. 4C (Sep. 2011), pp.134-137.
https://search.emarefa.net/detail/BIM-286159
American Medical Association (AMA)
Fadil, Fatin A.& Majid, A. H.. Free actions on prime and semiprime rings. Journal of Basrah Researches : Sciences. 2011. Vol. 37, no. 4C, pp.134-137.
https://search.emarefa.net/detail/BIM-286159
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references : p. 137
Record ID
BIM-286159