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...
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| Language: | English |
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Mahidol University. Mahidol University Library and Knowledge Center
2023
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| Online Access: | https://repository.li.mahidol.ac.th/handle/123456789/89746 |
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| Institution: | Mahidol University |
| Language: | English |
| Summary: | 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. |
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