-centralizing mappings of semiprime -rings
Other Title(s)
التطبيقات المركزية من النمط-على الحلقات شبه الأولية من النمط-
Joint Authors
Mutashshar, Samir Kazim
Majid, Abd al-Rahman Hamid
Source
Issue
Vol. 53, Issue 3 (30 Sep. 2012), pp.657-662, 6 p.
Publisher
University of Baghdad College of Science
Publication Date
2012-09-30
Country of Publication
Iraq
No. of Pages
6
Main Subjects
Topics
Abstract AR
لتكنM حلقة من النمط –-Γ ذات مركز (M) Z و S مجموغة غير خالية من M .
الدالة F من M إلى M تدعى من النمط –Γ اذا كان a= xaF(x) - f(x)ax € Z (M)[ f(x) ،x] لكل Γ.x € S, a € سنبين أن الحلقة من النمط – Γ شبة الأولية M يجب أن تحتوي مثالي مركزي إذا كانت F تشاكل تقابلي متمركز من النمط Γ على مثالي (ايمن أو أيسر) غير صغري.
Abstract EN
Let M be a Г-Ring with center Z(M) and S a non-empty subset of M.
A mapping F from M to M is called -centralizing on S if [x,F(x)]α= xαF(x)-F(x)αxZ(M) for all xS,α .
we show that a semi-prime Γ-ring M must have a non-trivial central ideal if it admits an endomorphism which is Γ-centralizing on some non-trivial one –sided ideal.
American Psychological Association (APA)
Majid, Abd al-Rahman Hamid& Mutashshar, Samir Kazim. 2012. -centralizing mappings of semiprime -rings. Iraqi Journal of Science،Vol. 53, no. 3, pp.657-662.
https://search.emarefa.net/detail/BIM-316786
Modern Language Association (MLA)
Majid, Abd al-Rahman Hamid& Mutashshar, Samir Kazim. -centralizing mappings of semiprime -rings. Iraqi Journal of Science Vol. 53, no. 3 (2012), pp.657-662.
https://search.emarefa.net/detail/BIM-316786
American Medical Association (AMA)
Majid, Abd al-Rahman Hamid& Mutashshar, Samir Kazim. -centralizing mappings of semiprime -rings. Iraqi Journal of Science. 2012. Vol. 53, no. 3, pp.657-662.
https://search.emarefa.net/detail/BIM-316786
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references : p. 661-662
Record ID
BIM-316786