On right (σ,τ)- derivation of prime rings
Other Title(s)
مشتقات - (σ,τ) اليمنى على الحلقات الأولية
Joint Authors
Majid, Abd al-Rahman Hamid
Hamdi, Asawr Durayd
Source
Issue
Vol. 54, Issue 4 (31 Dec. 2013), pp.944-947, 4 p.
Publisher
University of Baghdad College of Science
Publication Date
2013-12-31
Country of Publication
Iraq
No. of Pages
4
Main Subjects
Topics
Abstract AR
لتكن R حلقة أولية و б الاشتقاق-(σ, т) الأيمن على R.
في بحثنا هذا سوف نبرهن النتائج الآتية : أولا : افرض انه R حلقة أولية و I مثالي غير صفري على R, إذا كانت б هو تشاكل على I فإن б = 0 و إذا كانت б تشاكل ضد على I فإنه إما б = 0 على R أو R حلقة ابدالية.
ثانيا : افرض انه R حلقة الالتواء -2 و J مثالي جوردان غير صفري و حلقة جزئية من R, إذا كانت б هو تشاكل أو تشاكل ضد على J فإنه إما б = 0 على J أو J مجموعة جزئية من Z(R).
Abstract EN
Let R be a prime ring and δ a right (σ,τ)-derivation on R.
In the present paper we will prove the following results : First, suppose that R is a prime ring and I a non-zero ideal of R if δ acts as a homomorphism on I then δ = 0 on R, and if δ acts an anti- homomorphism on I then either δ=0 on R or R is commutative.
Second, suppose that R is 2-torsion-free prime ring and J a non-zero Jordan ideal and a subring of R, if δ acts as a homomorphism on J then δ = 0 on J, and if δ acts an anti- homomorphism on J then either δ = 0 on J or J Z (R).
American Psychological Association (APA)
Majid, Abd al-Rahman Hamid& Hamdi, Asawr Durayd. 2013. On right (σ,τ)- derivation of prime rings. Iraqi Journal of Science،Vol. 54, no. 4, pp.944-947.
https://search.emarefa.net/detail/BIM-342172
Modern Language Association (MLA)
Majid, Abd al-Rahman Hamid& Hamdi, Asawr Durayd. On right (σ,τ)- derivation of prime rings. Iraqi Journal of Science Vol. 54, no. 4 (2013), pp.944-947.
https://search.emarefa.net/detail/BIM-342172
American Medical Association (AMA)
Majid, Abd al-Rahman Hamid& Hamdi, Asawr Durayd. On right (σ,τ)- derivation of prime rings. Iraqi Journal of Science. 2013. Vol. 54, no. 4, pp.944-947.
https://search.emarefa.net/detail/BIM-342172
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references : p. 947
Record ID
BIM-342172