Units of group rings
Other Title(s)
العناصر القابلة للقلب في حلقات الزمر
Dissertant
al-Harub, Muhammad Abd al-Sayyid
Thesis advisor
Comitee Members
Warikat, Fawwaz Awwad
al-Shar, Khalid Ahmad Khalid
al-Dawud, Kamal Muhammad
University
Mutah University
Faculty
Faculty of Science
Department
Department of Mathematics and Statistics
University Country
Jordan
Degree
Master
Degree Date
2011
English Abstract
In this thesis units of group rings are studied.
By studying group rings of a finite cyclic group, and by studying symmetric elements and symmetric units in group rings. Then we studied idempotent elements in group ring of a finite cyclic group, and examples about idempotent elements in group ring of a finite cyclic group of order three and four are given. After this, we studied rings homomorphism and some properties and theorems about it are given.
We studied then general triangular matrix ring and some theorems and definitions about it are given.
Finally, we established Automorphism group of generalized triangular matrix rings.
Main Subjects
Topics
No. of Pages
34
Table of Contents
Table of contents.
Abstract.
Chapter one : Preliminaries.
Chapter two : Units of group rings.
Chapter three : Idempotent elements in group ring.
Chapter four : Auto orphism groups of generalized triangular matrix rings.
References.
American Psychological Association (APA)
al-Harub, Muhammad Abd al-Sayyid. (2011). Units of group rings. (Master's theses Theses and Dissertations Master). Mutah University, Jordan
https://search.emarefa.net/detail/BIM-302600
Modern Language Association (MLA)
al-Harub, Muhammad Abd al-Sayyid. Units of group rings. (Master's theses Theses and Dissertations Master). Mutah University. (2011).
https://search.emarefa.net/detail/BIM-302600
American Medical Association (AMA)
al-Harub, Muhammad Abd al-Sayyid. (2011). Units of group rings. (Master's theses Theses and Dissertations Master). Mutah University, Jordan
https://search.emarefa.net/detail/BIM-302600
Language
English
Data Type
Arab Theses
Record ID
BIM-302600
