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Faculty of Science and Arts - Khulais
Document Details
Document Type
:
Article In Journal
Document Title
:
Derivation in Prime Rings and Banach Algebra
الاشتقاق في الحلقات الوزراء والجبر باناخ
Subject
:
Algebra-Rings and Fields theory
Document Language
:
English
Abstract
:
Let R be a prime ring of characteristics different from 2 and 3. If there exits a nonzero derivation d from R to itself that the map x → [[[[d(x),x], x], x], x] is centralizing on R then d = 0. Combining this result together with the result of Sinclair and Johnson, we extend the Singer-Wermer theorem and its application in Banach algebra. Finally, we conclude some open problems.
ISSN
:
1012-1319
Journal Name
:
Arts and Humanities Journal
Volume
:
4
Issue Number
:
27
Publishing Year
:
1431 AH
2010 AD
Article Type
:
Article
Added Date
:
Wednesday, January 12, 2011
Researchers
Researcher Name (Arabic)
Researcher Name (English)
Researcher Type
Dr Grade
Email
محرم على خان
Khan, Moharram Ali
Researcher
Doctorate
mkhan91@gmail.com
Files
File Name
Type
Description
28586.pdf
pdf
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