Γ-centralizing mappings on prime and semi-prime γ-rings
Other Title(s)
دوال التمركز من النمط-Γ في الحلقات من النمط-Γ الأولية و شبه الأولية
Dissertant
Thesis advisor
Comitee Members
Salim, Nihad
al-Bahrani, Bahar Hamad Ahmad
Salih, Salih M.
University
University of Baghdad
Faculty
College of Science
Department
Mathematics Department
University Country
Iraq
Degree
Master
Degree Date
2011
English Abstract
Let M be a Γ-ring , the concept of centralizing in a rings was initiated by the classical result of Posner and have been extensively studied by many authors, in this work we will present and study the concept of Γ- centralizing on Γ-rings .
It is known that , one of the most important problems in studding Γ-rings is , whether the Γ-ring which we consider is commutative or not? So a part of our aim here in this work is to study these algebraic structures by give their properties and looking for those conditions under which they become commutative Γ-rings or contains a central ideal.
Several theorems , lemmas and corollaries are proved and many conditions are given each of which makes these algebraic structures commutative Γ-rings or contains central ideal.
Also we have studied the concept of left ΓM-module over Γ-ring and the concept of left derivations on left ΓM-module
Main Subjects
No. of Pages
83
Table of Contents
Table of contents.
Abstract.
Abstract in Arabic.
Introduction.
Chapter One : The fundamentals.
Chapter Two : Γ-centralizing derivations of prime and semi-prime Γ-rings.
Chapter Three : Γ-centralizing homomorphism of prime and semi-prime Γ-rings.
Chapter Four : Left derivations and generalized left derivations of left Γm-modules.
References.
American Psychological Association (APA)
Mutashar, Samir Kazim. (2011). Γ-centralizing mappings on prime and semi-prime γ-rings. (Master's theses Theses and Dissertations Master). University of Baghdad, Iraq
https://search.emarefa.net/detail/BIM-601841
Modern Language Association (MLA)
Mutashar, Samir Kazim. Γ-centralizing mappings on prime and semi-prime γ-rings. (Master's theses Theses and Dissertations Master). University of Baghdad. (2011).
https://search.emarefa.net/detail/BIM-601841
American Medical Association (AMA)
Mutashar, Samir Kazim. (2011). Γ-centralizing mappings on prime and semi-prime γ-rings. (Master's theses Theses and Dissertations Master). University of Baghdad, Iraq
https://search.emarefa.net/detail/BIM-601841
Language
English
Data Type
Arab Theses
Record ID
BIM-601841