On left σ-centralizers of Jordan ideals and generalized Jordan left (σ, t) -derivations of prime rings
Other Title(s)
حول تمركز -σ الأيسر على مثاليات جوردان و مشتقات –(σ, t) جوردان اليسرى المعممه للحلقات الأولية
Joint Authors
Faraj, Anwar Khalil
Majid, Abd al-Rahman H.
Source
Engineering and Technology Journal
Issue
Vol. 29, Issue 3 (31 Dec. 2011), pp.544-553, 10 p.
Publisher
Publication Date
2011-12-31
Country of Publication
Iraq
No. of Pages
10
Main Subjects
Abstract AR
في هذا البحث عممنا نتيجة C.
heratinger & S.
Ali على تمركز-Ϭ الأيسر للحلقة شبة الأولية إلى مثالي جور دان, برهنا إذا كانتr حلقة أوليه طريقة الالتواء من النمط U, 2 مثالي جور دان فيG & R دالة تجميعية من R إلىR بحيث (r)+g(r) Ϭ(u), Ϭ G (ur + ru) = G (u) لكل R ϶ r, u ϶ u فإنG (ur) = G(u)s (r) لكل R ϶ r ,U ϶ u.
و كذلك عمنا نتيجة M.
Ashraf, S.
M.
A.
Zaidi و S.
Ali على مشتقة (Ϭ, Ϭ)- اليسرى للحلقة الأولية إلى مثال جور دان بتقديم مفهوم مشنقته (s ,τ)- جور دان اليسرى المعممة.
Abstract EN
In this paper we generalize the result of S.
Ali and C.
Heatinger on left s - centralizer of semiprime ring to Jordan ideal, we proved that if R is a 2-torsion free prime ring, U is a Jordan ideal of R and G is an additive mapping from R into itself satisfying the conditionG(ur + ru) = G(u)s (r) + G(r)s (u) , for all uÎU, r ÎR .
Then G(ur) = G(u)s (r) , for all uÎU, r ÎR .
Also, we extend the result of S.
M.
A.
Zaidi, M.
Ashraf and S.
Ali on left (s ,s )-derivation of prime ring to Jordan ideal by introducing the concept of generalized Jordan left (s ,t )- derivation
American Psychological Association (APA)
Faraj, Anwar Khalil& Majid, Abd al-Rahman H.. 2011. On left σ-centralizers of Jordan ideals and generalized Jordan left (σ, t) -derivations of prime rings. Engineering and Technology Journal،Vol. 29, no. 3, pp.544-553.
https://search.emarefa.net/detail/BIM-289989
Modern Language Association (MLA)
Faraj, Anwar Khalil& Majid, Abd al-Rahman H.. On left σ-centralizers of Jordan ideals and generalized Jordan left (σ, t) -derivations of prime rings. Engineering and Technology Journal Vol. 29, no. 3 (2011), pp.544-553.
https://search.emarefa.net/detail/BIM-289989
American Medical Association (AMA)
Faraj, Anwar Khalil& Majid, Abd al-Rahman H.. On left σ-centralizers of Jordan ideals and generalized Jordan left (σ, t) -derivations of prime rings. Engineering and Technology Journal. 2011. Vol. 29, no. 3, pp.544-553.
https://search.emarefa.net/detail/BIM-289989
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references : p. 553
Record ID
BIM-289989
