On generalized (θ, ø)-reverse derivations of prime rings
Other Title(s)
حول تعميم مشتقات-(θ, ø) المعكوسة للحلقات الأولية
Author
Source
Issue
Vol. 52, Issue 2 (30 Jun. 2011), pp.218-224, 7 p.
Publisher
University of Baghdad College of Science
Publication Date
2011-06-30
Country of Publication
Iraq
No. of Pages
7
Main Subjects
Topics
Abstract AR
في هذا البحث سنقدم مفهوم كل من مشتقة (θ,∅) المعكوسة، تعميم مشتقة (θ,∅) المعكوسة و كذلك تعميم مشتقة (θ,∅) اليسرى. لتكن R حلقة أولية طليقة الالتواء من النمط 2 و U مثالي لي بحيث u^2 ∈U كل u ∈U. الهدف الرئيسي لبحثنا هو إذا كانت F هي تعميم مشتقة (θ,∅) المعكوسة على R بحيث تكون تشاكل أو تشاكل ضد على U فاما d=0 أو U⊆Z(R).
بالإضافة إلى ذلك، كتطبيق على هذه النتيجة برهنا كل تعميم مشتقة (θ,∅) على R بحيث تكون تشاكل أو تشاكل ضد فاما d=0 أو U⊆Z(R).
Abstract EN
In this paper we will introduce the concept of (q, f) reverse derivation, generalized (q, f) reverse derivation and generalized left (q, f) derivation.
Let R be a 2-torsion free prime ring and U a Lie ideal of R such that u2ÎU, for all unit.
The main result of this paper states that if F is a generalized (q, q) reverse derivation on R which also acts as a homomorphism or as anti- homomorphism on U, then either d = 0 or UÍZ (R) Further, as an application of this result it is shown that, if every generalized left (q, q) derivation on R which also acts as a homomorphism or as anti- homomorphism on U, then either d = 0 or UÍZ (R).
American Psychological Association (APA)
Faraj, Anwar Khalil. 2011. On generalized (θ, ø)-reverse derivations of prime rings. Iraqi Journal of Science،Vol. 52, no. 2, pp.218-224.
https://search.emarefa.net/detail/BIM-308395
Modern Language Association (MLA)
Faraj, Anwar Khalil. On generalized (θ, ø)-reverse derivations of prime rings. Iraqi Journal of Science Vol. 52, no. 2 (2011), pp.218-224.
https://search.emarefa.net/detail/BIM-308395
American Medical Association (AMA)
Faraj, Anwar Khalil. On generalized (θ, ø)-reverse derivations of prime rings. Iraqi Journal of Science. 2011. Vol. 52, no. 2, pp.218-224.
https://search.emarefa.net/detail/BIM-308395
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references : p. 223-224
Record ID
BIM-308395
