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
No. of Pages
72
Table of Contents
Table of contents.
Abstract.
Introduction.
Chapter One : Basic concepts.
Chapter Two : Absorbing ideals in semirings.
Chapter Three : Absorbing subsemimodules.
Chapter Four : Absorbing compactly packed in semirings.
Conclusion.
References.
American Psychological Association (APA)
Abd al-Nabi, Ayman Muhammad Fathi. (2016). A genaralization of 2-absorbing subsemimodule over semirings. (Master's theses Theses and Dissertations Master). Islamic University, Palestine (Gaza Strip)
https://search.emarefa.net/detail/BIM-735244
Modern Language Association (MLA)
Abd al-Nabi, Ayman Muhammad Fathi. A genaralization of 2-absorbing subsemimodule over semirings. (Master's theses Theses and Dissertations Master). Islamic University. (2016).
https://search.emarefa.net/detail/BIM-735244
American Medical Association (AMA)
Abd al-Nabi, Ayman Muhammad Fathi. (2016). A genaralization of 2-absorbing subsemimodule over semirings. (Master's theses Theses and Dissertations Master). Islamic University, Palestine (Gaza Strip)
https://search.emarefa.net/detail/BIM-735244
Language
English
Data Type
Arab Theses
Record ID
BIM-735244