On orthogonal reverse derivations of semiprime rings

Other Title(s)

حول تعامد المشتقات المتعاكسة في الحلقات شبه الأوية

Author

Majid, Abd al-Rahman Hamid

Source

Iraqi Journal of Science

Issue

Vol. 50, Issue 1 (31 Mar. 2009), pp.84-88, 5 p.

Publisher

University of Baghdad College of Science

Publication Date

2009-03-31

Country of Publication

Iraq

No. of Pages

5

Main Subjects

Mathematics

Topics

Abstract AR

قدمنا في هذا البحث بعض النتائج حول المشتقات المتعاكسة على الحلقات شبه الأولية.

هذه النتائج لها علاقة بنتيجة بوسنر المعروفة.

إحدى هذه النتائج تتضمن إذا كانت R حلقة شبه أولية طليقة الالتواء من النمط F2 و H مشتقات متعاكسة على fh لا يمكن أن تكون مشتقة غير صفرية.

استخدمنا هنا مفهوم تعامد المشتقات.

Abstract EN

In this paper some results concerning two reverse derivations on semi prime rings are presented.

These results are related to a result which is inspired by the classical result of E.

Posner.

This result is asserts that if R is a 2- torsion free semi prime ring, f and h are non-zero reverse derivations of R.

Then f h cannot be a non-zero derivation.

A notion of orthogonal reverse derivations arises here.

American Psychological Association (APA)

Majid, Abd al-Rahman Hamid. 2009. On orthogonal reverse derivations of semiprime rings. Iraqi Journal of Science،Vol. 50, no. 1, pp.84-88.
https://search.emarefa.net/detail/BIM-326825

Modern Language Association (MLA)

Majid, Abd al-Rahman Hamid. On orthogonal reverse derivations of semiprime rings. Iraqi Journal of Science Vol. 50, no. 1 (2009), pp.84-88.
https://search.emarefa.net/detail/BIM-326825

American Medical Association (AMA)

Majid, Abd al-Rahman Hamid. On orthogonal reverse derivations of semiprime rings. Iraqi Journal of Science. 2009. Vol. 50, no. 1, pp.84-88.
https://search.emarefa.net/detail/BIM-326825

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references : p. 88

Record ID

BIM-326825