Quasi-ideals and bi-ideals on semigroups and semirings

Dissertant

al-Madhun, Nifin R.

Thesis advisor

al-Mabhuh, Ahmad Abd al-Rauf

University

Islamic University

Faculty

Faculty of Science

Department

Department of Mathematics

University Country

Palestine (Gaza Strip)

Degree

Master

Degree Date

2007

English Abstract

In this thesis, we introduce some concepts of semi groups and semirings, as quasi-ideals, bi-ideals, regular elements and regular semi groups and semirings Also, we shall introduce some semi groups whose sets of bi-ideals and quasi-ideals coincide.

It has been shown that each quasi-ideal on a semi group or a semiring is a Bi-ideal, but the converse is not true. We close this thesis by¯ending semi groups contain bi-ideals which are not quasi-ideals.

Main Subjects

Mathematics

Topics

No. of Pages

82

Table of Contents

Table of contents.

Abstract.

Introduction

Chapter 1 : Preliminaries.

Chapter 2 : Quasi-ideals and regularity.

Chapter 3 : Semigroups whose sets of bi-ideals and quasi-ideals coincide.

Chapter 4 : Semigroups contain bi-ideals which are not quasi-ideals.

References.

American Psychological Association (APA)

al-Madhun, Nifin R.. (2007). Quasi-ideals and bi-ideals on semigroups and semirings. (Master. Theses and Dissertations Master). The Islamic University., Palestine (Gaza Strip)
https://search.emarefa.net/detail/BIM-299349

Modern Language Association (MLA)

al-Madhun, Nifin R.. Quasi-ideals and bi-ideals on semigroups and semirings. (Master. Theses and Dissertations Master). The Islamic University.. (2007).
https://search.emarefa.net/detail/BIM-299349

American Medical Association (AMA)

al-Madhun, Nifin R.. (2007). Quasi-ideals and bi-ideals on semigroups and semirings. (Master. Theses and Dissertations Master). The Islamic University., Palestine (Gaza Strip)
https://search.emarefa.net/detail/BIM-299349

Language

English

Data Type

Arab Theses

Record ID

BIM-299349