On principally quasi-injective modules and semi-injective modules
Other Title(s)
حول المقاسات شبة-الأغمارية رئيسية و المقاسات نصف-الأغمارية
Dissertant
University
University of Baghdad
Faculty
College of Science
Department
Mathematics Department
University Country
Iraq
Degree
Master
Degree Date
2005
English Abstract
Let M be an R-module with endomorphism ring S.
The module MR is called principally quasi-injective, if every R-homomorphism from any cyclic submodule of M to M can be extended to an endomorphism of M.
An R-module N is called M-principally injective, if every R-homomorphism from M-cyclic submodule K of M to N can be extended to M.
An R-module M is called semi-injective if it is M-principally injective.
These concepts were studied by Nicholson, Yousif and wangwal.
The main purpose of this thesis is to study principally quasi-injective modules and semi-injective modules.
We give the details of proofs of known results, supply some example, and add few new results
Main Subjects
Topics
No. of Pages
59
Table of Contents
Table of contents.
Abstract.
Abstract in Arabic.
Introduction.
Chapter One : Principally quasi-injective modules and principally injective rings.
Chapter Two : Principally quasi-injective modules and other classes of modules.
Chapter Three : Semi-injective modules and fully stable modules.
References.
American Psychological Association (APA)
al-Tamimi, Ali Karim Adham. (2005). On principally quasi-injective modules and semi-injective modules. (Master's theses Theses and Dissertations Master). University of Baghdad, Iraq
https://search.emarefa.net/detail/BIM-601522
Modern Language Association (MLA)
al-Tamimi, Ali Karim Adham. On principally quasi-injective modules and semi-injective modules. (Master's theses Theses and Dissertations Master). University of Baghdad. (2005).
https://search.emarefa.net/detail/BIM-601522
American Medical Association (AMA)
al-Tamimi, Ali Karim Adham. (2005). On principally quasi-injective modules and semi-injective modules. (Master's theses Theses and Dissertations Master). University of Baghdad, Iraq
https://search.emarefa.net/detail/BIM-601522
Language
English
Data Type
Arab Theses
Record ID
BIM-601522
