N-commuting maps on semiprime rings

Joint Authors

Hasan, Samir Qasim
Majid, A. H.
Naum, Adil G.

Source

Iraqi Journal of Science

Issue

Vol. 48, Issue 1 (30 Jun. 2007), pp.172-177, 6 p.

Publisher

University of Baghdad College of Science

Publication Date

2007-06-30

Country of Publication

Iraq

No. of Pages

6

Main Subjects

Mathematics

Topics

Abstract AR

لتكن R حلقة مركزها m, n, Z (R) أعداد صحيحة موجبة, بينا في هذا البحث أن الحلقة الأولية R تحت شروط مناسبة يجب أن تحوي على مثالي مركزي غير صفري, إذا سمحت R بوجود اشتقاق غير صفري d على مثالي يساري U من R غير تافه و الدالة [xm, d (x)] ← X تحقق أحد الشروط الآتية : 1.

ابدالية - n على U. 2.

ابدالية ملتوية - n على U.

Abstract EN

Let R be a ring with center , and n, m are arbitrary positive integers.

We show that a semiprime ring R with suitable - restriction must contain a nonzero central ideal, if it admits a derivation d which is nonzero on a non trivial left ideal U of R and the map satisfies one of the following: )R(Z)]x(d,x[xm i- n - commuting on U.

ii- n - skew - commuting on U.

American Psychological Association (APA)

Naum, Adil G.& Majid, A. H.& Hasan, Samir Qasim. 2007. N-commuting maps on semiprime rings. Iraqi Journal of Science،Vol. 48, no. 1, pp.172-177.
https://search.emarefa.net/detail/BIM-340469

Modern Language Association (MLA)

Naum, Adil G.…[et al.]. N-commuting maps on semiprime rings. Iraqi Journal of Science Vol. 48, no. 1 (2007), pp.172-177.
https://search.emarefa.net/detail/BIM-340469

American Medical Association (AMA)

Naum, Adil G.& Majid, A. H.& Hasan, Samir Qasim. N-commuting maps on semiprime rings. Iraqi Journal of Science. 2007. Vol. 48, no. 1, pp.172-177.
https://search.emarefa.net/detail/BIM-340469

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references : p. 177

Record ID

BIM-340469