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Reverse-centralizers on-lie ideals
Other Title(s)
تمركزات-العكسية في مثاليات-لي
Author
Source
Issue
Vol. 54, Issue 4 (sup) (31 Dec. 2013), pp.1158-1162, 5 p.
Publisher
University of Baghdad College of Science
Publication Date
2013-12-31
Country of Publication
Iraq
No. of Pages
5
Main Subjects
Topics
Abstract AR
الهدف من البحث هو برهان النتيجة الآتية : لتكن R*-حلقة أولية طليقة الإلتواء من الدرجة الثانية و U*-مثالي لي مغلق تربيعيا في R و R →R : T دالة تجميعية و T تحقق المعادلتين التاليتين لكل x, y في U X* + x*y*T (x) Y*x* + x* T (y) T (xyx) = T (x) و x*T (xy + yx)x* = x*T(y) x*2 + x*2T (y)x* إذا كان (u) T ϶ لكل u ϶ فإن T تكون دالة تمركزات-* العكسية.
Abstract EN
The purpose of this paper is to prove the following result : Let R be a 2-torsion free prime *-ring , U a square closed *-Lie ideal, and let T: RR be an additive mapping.
Suppose that 3T(xyx) = T(x) y*x* + x*T(y)x* + x*y*T(x) and x*T(xy+yx)x* = x*T(y)x*2 + x*2T(y)x* holds for all pairs x, y U , and T(u) U, for all uU, then T is a reverse *-centralizer.
American Psychological Association (APA)
al-Tai, Ali Abd Ubayd. 2013. Reverse-centralizers on-lie ideals. Iraqi Journal of Science،Vol. 54, no. 4 (sup), pp.1158-1162.
https://search.emarefa.net/detail/BIM-352371
Modern Language Association (MLA)
al-Tai, Ali Abd Ubayd. Reverse-centralizers on-lie ideals. Iraqi Journal of Science Vol. 54, no. 4 (Supplement) (2013), pp.1158-1162.
https://search.emarefa.net/detail/BIM-352371
American Medical Association (AMA)
al-Tai, Ali Abd Ubayd. Reverse-centralizers on-lie ideals. Iraqi Journal of Science. 2013. Vol. 54, no. 4 (sup), pp.1158-1162.
https://search.emarefa.net/detail/BIM-352371
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references : p. 1162
Record ID
BIM-352371