On n-absorbing submodules

Other Title(s)

حول المقاسات الجزئية الممتصة من النوع ن

Dissertant

Naji, Usamah Abd al-Karim

Thesis advisor

al-Ashqar, Muhammad M.
Ashur, Arwa E.

University

Islamic University

Faculty

Faculty of Science

Department

Department of Mathematics

University Country

Palestine (Gaza Strip)

Degree

Master

Degree Date

2016

English Abstract

Let R be a commutative ring with a nonzero identity and M be a unitary R-module.

Chin Pi.

Lu studied prime submodules.

Many authors have investigated some generalizations of prime ideals and submodules to 2-absorbing ( n-absorbing ) ideals and submodules.

In this thesis we prove several results concerning 2-absorbing submodules and extended some of them to n-absorbing submodules.

We also investigate the sufficient and necessary conditions for a submodule N to be (primary - classical - almost) 2-absorbing submodule of M.

Main Subjects

Mathematics

No. of Pages

83

Table of Contents

Table of contents.

Abstract.

Abstract in Arabic.

Introduction.

Chapter One : Basic concepts.

Chapter Two : 2-Absorbing submodules.

Chapter Three : n-Absorbing submodules.

Conclusion.

References.

American Psychological Association (APA)

Naji, Usamah Abd al-Karim. (2016). On n-absorbing submodules. (Master's theses Theses and Dissertations Master). Islamic University, Palestine (Gaza Strip)
https://search.emarefa.net/detail/BIM-727233

Modern Language Association (MLA)

Naji, Usamah Abd al-Karim. On n-absorbing submodules. (Master's theses Theses and Dissertations Master). Islamic University. (2016).
https://search.emarefa.net/detail/BIM-727233

American Medical Association (AMA)

Naji, Usamah Abd al-Karim. (2016). On n-absorbing submodules. (Master's theses Theses and Dissertations Master). Islamic University, Palestine (Gaza Strip)
https://search.emarefa.net/detail/BIM-727233

Language

English

Data Type

Arab Theses

Record ID

BIM-727233