On right α-centralizers and commutativity of prime rings
Other Title(s)
حول التمركزات اليمينية α و الإبدالية للحلقات الأولية
Joint Authors
Abd al-Jalil, Amirah Amir
Majid, Abd al-Rahman Hamid
Source
Issue
Vol. 57, Issue (sA) (31 Dec. 2016), pp.134-138, 5 p.
Publisher
University of Baghdad College of Science
Publication Date
2016-12-31
Country of Publication
Iraq
No. of Pages
5
Main Subjects
Topics
Abstract EN
Let R be a prime ring, U be a lie ideal of R, and α be an endomorphism of R.
An additive mapping f : R -> R is called a right a-centralizer if f(xy) = a(x)f(y) holds for all x, yεR.
In the present paper, we shall investigate the commutatively of prime rings admitting right a centralizer satisfying any one of the following conditions: (i) f([x,y]) = ±[x,y], (ii) f(xoy) = ±xoy, (iii) f(x2) = ±x2 for all x,yεU.
American Psychological Association (APA)
Abd al-Jalil, Amirah Amir& Majid, Abd al-Rahman Hamid. 2016. On right α-centralizers and commutativity of prime rings. Iraqi Journal of Science،Vol. 57, no. (sA), pp.134-138.
https://search.emarefa.net/detail/BIM-759759
Modern Language Association (MLA)
Abd al-Jalil, Amirah Amir& Majid, Abd al-Rahman Hamid. On right α-centralizers and commutativity of prime rings. Iraqi Journal of Science Vol. 57, no. (sA) (2016), pp.134-138.
https://search.emarefa.net/detail/BIM-759759
American Medical Association (AMA)
Abd al-Jalil, Amirah Amir& Majid, Abd al-Rahman Hamid. On right α-centralizers and commutativity of prime rings. Iraqi Journal of Science. 2016. Vol. 57, no. (sA), pp.134-138.
https://search.emarefa.net/detail/BIM-759759
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references : p. 138
Record ID
BIM-759759
