Lie and Jordan structure in prime Γ-rings with Γ-centralizing derivations

Other Title(s)

تركيبه لي و جوردان في الحلقات الأولية من النمط Γ- مع المشتقات المركزية من النمط Γ-

Joint Authors

Majid, Abd al-Rahman Hamid
Majid, Alya Aqil

Source

Iraqi Journal of Science

Issue

Vol. 54, Issue 1 (31 Mar. 2013), pp.182-190, 9 p.

Publisher

University of Baghdad College of Science

Publication Date

2013-03-31

Country of Publication

Iraq

No. of Pages

9

Main Subjects

Mathematics

Topics

Abstract AR

لتكن M حلقة أولية من النمط - Γو تحقق الشرط abβc = aβbc لكل M э a, b, c و Γ э , β مع مركز Z و ليكن U مثالي لي (جوردان).

الدالة d : M→M تدعى مركزية من النمط Γ- إذا كان Z э [u, d (u)] لكل U э u و Γ э .

في هذا البحث درسنا المثالي لي و جوردان للحلقة الأولية من النمط Γ- مع دالة المشتقات المركزية من النمط Γ- على U.

Abstract EN

Let M be a prime Γ-ring satisfying abc abc for all a, b, c M and , with center Z, and U be a Lie (Jordan) ideal.

A mapping d : M M is called Γ- centralizing if [u, d ( u) Z for all u U and .

In this paper, we studied Lie and Jordan ideal in a prime Γ- ring M together with Γ-centralizing derivations on U.

American Psychological Association (APA)

Majid, Abd al-Rahman Hamid& Majid, Alya Aqil. 2013. Lie and Jordan structure in prime Γ-rings with Γ-centralizing derivations. Iraqi Journal of Science،Vol. 54, no. 1, pp.182-190.
https://search.emarefa.net/detail/BIM-337140

Modern Language Association (MLA)

Majid, Abd al-Rahman Hamid& Majid, Alya Aqil. Lie and Jordan structure in prime Γ-rings with Γ-centralizing derivations. Iraqi Journal of Science Vol. 54, no. 1 (2013), pp.182-190.
https://search.emarefa.net/detail/BIM-337140

American Medical Association (AMA)

Majid, Abd al-Rahman Hamid& Majid, Alya Aqil. Lie and Jordan structure in prime Γ-rings with Γ-centralizing derivations. Iraqi Journal of Science. 2013. Vol. 54, no. 1, pp.182-190.
https://search.emarefa.net/detail/BIM-337140

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references : p. 190

Record ID

BIM-337140