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

Mathematics

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