On some properties of domainlike rings

Other Title(s)

بعض خواص حلقات شبيهات المجال

Dissertant

al-Sarayirah, Ahmad Ata Allah

Thesis advisor

Sulayman, Ibrahim Abd Allah

Comitee Members

al-Banawi, Kamal Ata Allah Salih
Warikat, Fawwaz Awwad
al-Azzah, Hasan Muhammad

University

Mutah University

Faculty

Faculty of Science

Department

Department of Mathematics and Statistics

University Country

Jordan

Degree

Master

Degree Date

2006

English Abstract

In this thesis basic properties of associate rings, and associate modules are studied.

We characterize when polynomial rings and power series rings are associate.

Associate trivial extension of a ring by module is characterized.

Then presimplifiable rings and modules are studied.

Presimplifiable polynomial rings and power series rings are given too.

Finally, some properties of domain like rings are studied.

Important examples and counter examples are given too.

Main Subjects

Mathematics

Topics

No. of Pages

27

Table of Contents

Table of contents.

Abstract.

Chapter one : Introduction and preliminaries.

Chapter two : Regular rings.

Chapter three : Associate rings.

Chapter four : Presimplifiable rings.

Chapter five : Domainlike rings.

References.

American Psychological Association (APA)

al-Sarayirah, Ahmad Ata Allah. (2006). On some properties of domainlike rings. (Master's theses Theses and Dissertations Master). Mutah University, Jordan
https://search.emarefa.net/detail/BIM-303697

Modern Language Association (MLA)

al-Sarayirah, Ahmad Ata Allah. On some properties of domainlike rings. (Master's theses Theses and Dissertations Master). Mutah University. (2006).
https://search.emarefa.net/detail/BIM-303697

American Medical Association (AMA)

al-Sarayirah, Ahmad Ata Allah. (2006). On some properties of domainlike rings. (Master's theses Theses and Dissertations Master). Mutah University, Jordan
https://search.emarefa.net/detail/BIM-303697

Language

English

Data Type

Arab Theses

Record ID

BIM-303697