A generalization of cohen's theorem
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 Noethe...
Saved in:
| Main Author: | |
|---|---|
| Other Authors: | |
| Language: | English |
| Published: |
Mahidol University. Mahidol University Library and Knowledge Center
2023
|
| Subjects: | |
| Online Access: | https://repository.li.mahidol.ac.th/handle/123456789/89746 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| Institution: | Mahidol University |
| Language: | English |
| id |
th-mahidol.89746 |
|---|---|
| record_format |
dspace |
| spelling |
th-mahidol.897462023-09-11T10:57:52Z A generalization of cohen's theorem Nguyen, Trong Bac, 1986- Nguyen, Van Sanh Chaiwat Maneesawarng Somsak Orankitjaroen Mathematical analysis Cohen structure theorem 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. 2023-09-11T03:57:41Z 2023-09-11T03:57:41Z 2015 2015 2023 Thesis (Ph.D. (Mathematics))--Mahidol University, 2015 https://repository.li.mahidol.ac.th/handle/123456789/89746 eng Mahidol University v, 42 leaves application/pdf Mahidol University. Mahidol University Library and Knowledge Center |
| institution |
Mahidol University |
| building |
Mahidol University Library |
| continent |
Asia |
| country |
Thailand Thailand |
| content_provider |
Mahidol University Library |
| collection |
Mahidol University Institutional Repository |
| language |
English |
| topic |
Mathematical analysis Cohen structure theorem |
| spellingShingle |
Mathematical analysis Cohen structure theorem Nguyen, Trong Bac, 1986- A generalization of cohen's theorem |
| description |
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. |
| author2 |
Nguyen, Van Sanh |
| author_facet |
Nguyen, Van Sanh Nguyen, Trong Bac, 1986- |
| author |
Nguyen, Trong Bac, 1986- |
| author_sort |
Nguyen, Trong Bac, 1986- |
| title |
A generalization of cohen's theorem |
| title_short |
A generalization of cohen's theorem |
| title_full |
A generalization of cohen's theorem |
| title_fullStr |
A generalization of cohen's theorem |
| title_full_unstemmed |
A generalization of cohen's theorem |
| title_sort |
generalization of cohen's theorem |
| publisher |
Mahidol University. Mahidol University Library and Knowledge Center |
| publishDate |
2023 |
| url |
https://repository.li.mahidol.ac.th/handle/123456789/89746 |
| _version_ |
1781416783532523520 |