Comutativity results on semiprime rings
Joint Authors
Majid, A. H.
Atiyyah, Mehsin Jabal
Source
Issue
Vol. 46, Issue 1 (31 Mar. 2005), pp.224-226, 3 p.
Publisher
University of Baghdad College of Science
Publication Date
2005-03-31
Country of Publication
Iraq
No. of Pages
3
Main Subjects
Topics
Abstract AR
أن هدف هذا البحث هو برهان النتيجة الآتية : لتكن R حلقة شبه أولية طليقة الالتواء من النمط U, 2 مثالي غير صفري من R، Z (R) مركز لـ R و R→Rd : اشتقاق غير صفري فإن R تحتوي على مثالي مركزي غير صفري إذا تحقق واحد من الشروط الآتية : Z (R) ϶ [x, y] ±dn [x, y]-1 لكل x, y في U عندما n عدد صحيح موجب.
2- Z (R) ϶ [x, y] ±dm[x, y] ±dp [x, y] لكل x, y في U عندما p, m عددان صحيحان موجبان.
Abstract EN
The purpose of this paper is to prove the following result:- Let R be a 2-torsion free semiprime ring.
Z(R) be the center of R U be a nonzero ideal of R, and d be a nonzero derivation on R.
then R contains a nonzero central ideal if one of the following conditions holds: i- d'yX) >’]+ [.*,.)'] 6 Z(R) for all x, y gU , where n is a fixed positive integer.
ii- dp[x,y\+ dm\x,y\+ [jt,>>] e Z(R) for all x,ye U.
where p.
m are fixed positive integers.
American Psychological Association (APA)
Majid, A. H.& Atiyyah, Mehsin Jabal. 2005. Comutativity results on semiprime rings. Iraqi Journal of Science،Vol. 46, no. 1, pp.224-226.
https://search.emarefa.net/detail/BIM-362219
Modern Language Association (MLA)
Majid, A. H.& Atiyyah, Mehsin Jabal. Comutativity results on semiprime rings. Iraqi Journal of Science Vol. 46, no. 1 (2005), pp.224-226.
https://search.emarefa.net/detail/BIM-362219
American Medical Association (AMA)
Majid, A. H.& Atiyyah, Mehsin Jabal. Comutativity results on semiprime rings. Iraqi Journal of Science. 2005. Vol. 46, no. 1, pp.224-226.
https://search.emarefa.net/detail/BIM-362219
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references : p. 226
Record ID
BIM-362219
