Γ-centralizing mappings on prime and semi-prime γ-rings

العناوين الأخرى

دوال التمركز من النمط-Γ في الحلقات من النمط-Γ الأولية و شبه الأولية

مقدم أطروحة جامعية

Mutashar, Samir Kazim

مشرف أطروحة جامعية

Majid, Abd al-Rahman Hamid

أعضاء اللجنة

Salim, Nihad
al-Bahrani, Bahar Hamad Ahmad
Salih, Salih M.

الجامعة

جامعة بغداد

الكلية

كلية العلوم

القسم الأكاديمي

قسم الرياضيات

دولة الجامعة

العراق

الدرجة العلمية

ماجستير

تاريخ الدرجة العلمية

2011

الملخص الإنجليزي

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

التخصصات الرئيسية

الرياضيات

عدد الصفحات

83

قائمة المحتويات

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.

نمط استشهاد جمعية علماء النفس الأمريكية (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

نمط استشهاد الجمعية الأمريكية للغات الحديثة (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

نمط استشهاد الجمعية الطبية الأمريكية (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

لغة النص

الإنجليزية

نوع البيانات

رسائل جامعية

رقم السجل

BIM-601841