Clean rings and relative types of rings

Other Title(s)

الحلقات النظيفة و أنواع أخرى من الحلقات المتعلقة بها

Dissertant

al-Soub, Ayat Shahir

Thesis advisor

Sulayman, Ibrahim Abd Allah

Comitee Members

al-Jaradat, Umar Khalid
Warikat, Fawwaz Awwad
al-Shar, Khalid Ahmad Khalid

University

Mutah University

Faculty

Faculty of Science

Department

Department of Mathematics and Statistics

University Country

Jordan

Degree

Master

Degree Date

2011

English Abstract

A clean ring is a ring in which every element in it can be written as a sum of an idempotent and a unit.

This thesis deal with clean rings and many other rings which are related to some extent to clean rings such as weakly clean, nil-clean, semi clean and nil-semi clean rings.

Many results are proved such as “In a semi commutative and nil-semi clean ring R, the Jacobson radical is the nil-radical of R”.

Main Subjects

Mathematics

Topics

No. of Pages

48

Table of Contents

Table of contents.

Abstract.

Chapter one : Introduction and preliminaries.

Chapter two : Clean rings.

Chapter three : Weakly clean rings.

Chapter four : Nil-semi clean rings.

References.

American Psychological Association (APA)

al-Soub, Ayat Shahir. (2011). Clean rings and relative types of rings. (Master's theses Theses and Dissertations Master). Mutah University, Jordan
https://search.emarefa.net/detail/BIM-302059

Modern Language Association (MLA)

al-Soub, Ayat Shahir. Clean rings and relative types of rings. (Master's theses Theses and Dissertations Master). Mutah University. (2011).
https://search.emarefa.net/detail/BIM-302059

American Medical Association (AMA)

al-Soub, Ayat Shahir. (2011). Clean rings and relative types of rings. (Master's theses Theses and Dissertations Master). Mutah University, Jordan
https://search.emarefa.net/detail/BIM-302059

Language

English

Data Type

Arab Theses

Record ID

BIM-302059