A generalization of cohen's theorem
6
Issued Date
2023
Copyright Date
2015
Language
eng
File Type
application/pdf
No. of Pages/File Size
v, 42 leaves
Access Rights
restricted access
Rights Holder(s)
Mahidol University
Bibliographic Citation
Thesis (Ph.D. (Mathematics))--Mahidol University, 2015
Suggested Citation
Nguyen, Trong Bac, 1986- A generalization of cohen's theorem. Thesis (Ph.D. (Mathematics))--Mahidol University, 2015. Retrieved from: https://repository.li.mahidol.ac.th/handle/123456789/89746
Title
A generalization of cohen's theorem
Author(s)
Abstract
In this thesis, the researcher introduced the classes of strongly prime and one-sided strongly prime submodules and used these classes to characterize Noetherian modules. The researcher gave a new characterization of Noetherian modules, following which a finitely generated right R-module M is Noetherian if and only if every one-sided strongly prime submodule is finitely generated. This result can be considered as a generalization of Cohen"s Theorem.
Degree Name
Doctor of Philosophy
Degree Level
Doctoral Degree
Degree Department
Faculty of Science
Degree Discipline
Mathematics
Degree Grantor(s)
Mahidol University