Dependent elements of left centralizers of semiprime rings
Joint Authors
Samman, Muhammad S.
Chaudhry, Muhammad Anwar
Source
The Arabian Journal for Science and Engineering. Section A, Science
Issue
Vol. 33, Issue 2A (31 Jul. 2008), pp.313-319, 7 p.
Publisher
King Fahd University of Petroleum and Minerals
Publication Date
2008-07-31
Country of Publication
Saudi Arabia
No. of Pages
7
Main Subjects
Topics
Abstract AR
في هذا العمل ندرس العناصر المعتمدة للدوال الممركزة اليسارية و الدوال ذات التأثير الحر على الحلقات شبه الأولية.
نبين هنا أن العناصر المعتمدة لدالة ممركزة يسارية على حلقة شبه أولية R تكون مركزية و تشكل حلقة جزئية شبه أولية من R.
إضافة إلى ذلك فإننا نحصل على تحليل لحلقة شبه أولية و ذلك باستخدام دالة ممركزة يسارية و دالة ممركزة على الحلقة و العناصر المعتمدة.
Abstract EN
Dependent elements of left centralizers and a freely acting mapping on semiprime rings are considered.
It is shown that the dependent elements of a left centralizer of a semiprime ring R are central and form a semiprime subring of R.
Furthermore, decompositions of a semiprime ring using a left centralizer, and a centralizer, of the ring and their dependent elements are obtained.
2000 AMS Classification: 16N60, 16A72
American Psychological Association (APA)
Samman, Muhammad S.& Chaudhry, Muhammad Anwar. 2008. Dependent elements of left centralizers of semiprime rings. The Arabian Journal for Science and Engineering. Section A, Science،Vol. 33, no. 2A, pp.313-319.
https://search.emarefa.net/detail/BIM-330137
Modern Language Association (MLA)
Samman, Muhammad S.& Chaudhry, Muhammad Anwar. Dependent elements of left centralizers of semiprime rings. The Arabian Journal for Science and Engineering. Section A, Science Vol. 33, no. 2A (Jul. 2008), pp.313-319.
https://search.emarefa.net/detail/BIM-330137
American Medical Association (AMA)
Samman, Muhammad S.& Chaudhry, Muhammad Anwar. Dependent elements of left centralizers of semiprime rings. The Arabian Journal for Science and Engineering. Section A, Science. 2008. Vol. 33, no. 2A, pp.313-319.
https://search.emarefa.net/detail/BIM-330137
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references : p. 318-319
Record ID
BIM-330137