Cleanliness of over rings of polynomial rings

Other Title(s)

نظافة الحلقات الفوقية لحلقات كثيرات الحدود التبديلية

Dissertant

Nassar, Warwd Burhan Rajih

Thesis advisor

Khashshan, Hani Abd al-Aziz

Comitee Members

al-Shar, Khalid Ahmad Khalid
al-Azzah, Hasan Muhammad
Handam, Ali

University

Al albayt University

Faculty

Faculty of Sciences

Department

Department of Mathematics

University Country

Jordan

Degree

Master

Degree Date

2011

English Abstract

In this thesis, we study the classes of clean and uniquely clean rings.

Moreover, we present and study the class of almost clean rings as one of the important generalizations of these classes of rings.

We generalize some properties of clean and uniquely clean rings on almost clean rings.

Finally, we clarify conditions under which the following statements are equivalent : 1) is a clean (almost clean) ring 2) is a clean (almost clean) ring 3) is a clean (almost clean) ring

Main Subjects

Mathematics

No. of Pages

72

Table of Contents

Table of contents.

Abstract.

Introduction.

Chapter One : preliminaries.

Chapter Two : Clean rings and some of its generalizations.

Chapter Three : Cleanliness of over rings of polynomial rings.

References.

American Psychological Association (APA)

Nassar, Warwd Burhan Rajih. (2011). Cleanliness of over rings of polynomial rings. (Master's theses Theses and Dissertations Master). Al albayt University, Jordan
https://search.emarefa.net/detail/BIM-314852

Modern Language Association (MLA)

Nassar, Warwd Burhan Rajih. Cleanliness of over rings of polynomial rings. (Master's theses Theses and Dissertations Master). Al albayt University. (2011).
https://search.emarefa.net/detail/BIM-314852

American Medical Association (AMA)

Nassar, Warwd Burhan Rajih. (2011). Cleanliness of over rings of polynomial rings. (Master's theses Theses and Dissertations Master). Al albayt University, Jordan
https://search.emarefa.net/detail/BIM-314852

Language

English

Data Type

Arab Theses

Record ID

BIM-314852