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Some generaliza tions on ᵟ-llfting modules
Other Title(s)
بعض تعميمات مقاسات الرفع من الصنف
Dissertant
Thesis advisor
Comitee Members
al-Iwi, Alaa Abbas
Abbas, Mahdi Sadiq
Hasan, Wasan Khalid
University
University of Baghdad
Faculty
College of Science
Department
Mathematics Department
University Country
Iraq
Degree
Master
Degree Date
2011
English Abstract
The main purpose of this work is to develop the properties of 5-lifting modules and add some result that seen to be new to the best of our knowledge.
Also we give examples and basic properties of weak 5-lifting (FI- 5-lifting) modules.
l Let R be associative ring with identity and let M be unitary left ft-module.
M.
T.
Kosan introduce the following concept: An R-module is called 5-lifting module if for every submodule A of M, there exists a submodule X of A such that M = X(BY and X Qgce A in M.
In this thesis, we give comprehensive study of 5-lifting modules and some related concepts.
Also we introduce a generalization of this concept as follows:- Let M be an R-module.
We say that M is weak 5-lifting (FI-5-lifting) module (or briefly w-5-lifting) if for every semisimple (fully invariant) submodule A of M, there exists a submodule X of M such that M = X©V and X —S.ce A in M.
Main Subjects
No. of Pages
101
Table of Contents
Table of contents.
Abstract.
Abstract in Arabic.
Introduction.
Chapter One : ᵟ-small submodules.
Chapter Two : ᵟ-lifting modules.
Chapter Three : Weak ᵟ-lifting and FI-ᵟ-lifting modules.
References.
American Psychological Association (APA)
Hasan, Sara Shakir. (2011). Some generaliza tions on ᵟ-llfting modules. (Master's theses Theses and Dissertations Master). University of Baghdad, Iraq
https://search.emarefa.net/detail/BIM-601861
Modern Language Association (MLA)
Hasan, Sara Shakir. Some generaliza tions on ᵟ-llfting modules. (Master's theses Theses and Dissertations Master). University of Baghdad. (2011).
https://search.emarefa.net/detail/BIM-601861
American Medical Association (AMA)
Hasan, Sara Shakir. (2011). Some generaliza tions on ᵟ-llfting modules. (Master's theses Theses and Dissertations Master). University of Baghdad, Iraq
https://search.emarefa.net/detail/BIM-601861
Language
English
Data Type
Arab Theses
Record ID
BIM-601861