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

Mutashar, Samir Kazim

Thesis advisor

Majid, Abd al-Rahman Hamid

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

Mathematics

No. of Pages

83

Table of Contents

• APA
• MLA
• AMA

Language

English

Data Type

Arab Theses

Record ID

BIM-601841