ON 2-absorbing ideals of commutative semrings
Dissertant
Thesis advisor
University
Birzeit University
Faculty
Faculty of Science
Department
Department of Mathematics
University Country
Palestine (West Bank)
Degree
Master
Degree Date
2019
English Abstract
Suppose that S is a commutative semiring with unity different than zero.
In this thesis, we study the concept of 2-absorbing ideal of S which can be considered as a generalization of prime ideals.
We introduce some of its basic characteristics which are analogous to commutative ring theory and prove that the radical of 2-absorbing ideal is also 2- absorbing ideal and there are at most two prime k-ideals of S that are minimal over a 2-absorbing ideal.
Moreover, we investigate the concept of 2-absorbing in special categories of semirings and prove some of advanced theorems related to it
Main Subjects
Topics
No. of Pages
50
Table of Contents
Table of contents.
Abstract.
Abstract in Arabic.
Chapter One : Introduction.
Chapter Two : Preliminaries.
Chapter Three : Basic characteristics of 2-absorbing ideals of commutative semiring.
Chapter Four : On 2-absorbing ideals in special categories of semirings.
References
American Psychological Association (APA)
Sawalimah, Lina. (2019). ON 2-absorbing ideals of commutative semrings. (Master's theses Theses and Dissertations Master). Birzeit University, Palestine (West Bank)
https://search.emarefa.net/detail/BIM-957976
Modern Language Association (MLA)
Sawalimah, Lina. ON 2-absorbing ideals of commutative semrings. (Master's theses Theses and Dissertations Master). Birzeit University. (2019).
https://search.emarefa.net/detail/BIM-957976
American Medical Association (AMA)
Sawalimah, Lina. (2019). ON 2-absorbing ideals of commutative semrings. (Master's theses Theses and Dissertations Master). Birzeit University, Palestine (West Bank)
https://search.emarefa.net/detail/BIM-957976
Language
English
Data Type
Arab Theses
Record ID
BIM-957976
