A genaralization of 2-absorbing subsemimodule over semirings

Other Title(s)

تعميم المقاسات الجزئية الممتصة من النوع الثاني على شبه الحلقات

Dissertant

Abd al-Nabi, Ayman Muhammad Fathi

Thesis advisor

Ashur, Arwa Id
al-Ashqar, Muhammad Mahmud

Comitee Members

Asad, Yusuf Asad
Naji, Abd al-Karim Abd al-Qadir

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 semiring with identity and M be a unitary R-semimodule.

Let N be a proper subsemimodule of M.

We say that N is 2-absorbing subsemimodule of M if abm 2 N where a,b 2 R and m 2 M implies that ab 2 (N : M) or am 2 N or bm 2 N.

This concept was introduced by M.Dubey and P.Sarohe (see [18]).

In this thesis we prove a number of results concerning 2-absorbing subsemimodules.

And we generalize the concept of 2-absorbing subsemimodules to weakly 2-absorbing subsemi- modules.

We also investigate the relation between some subsemimodules and 2-absorbing, weakly 2-absorbing subsemimodules.

And we introduce the concepts of 2-absorbing compactly packed semirings and 2-absorbing compactly packed semimodules.

Main Subjects

Mathematics

No. of Pages

72

Table of Contents

• APA
• MLA
• AMA

Language

English

Data Type

Arab Theses

Record ID

BIM-735244