Nguyen, Van SanhChaiwat ManeesawarngSomsak OrankitjaroenNguyen, Trong Bac, 1986-2023-09-112023-09-11201520152023Thesis (Ph.D. (Mathematics))--Mahidol University, 2015https://repository.li.mahidol.ac.th/handle/20.500.14594/89746In 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.v, 42 leavesapplication/pdfengMathematical analysisCohen structure theoremMahidol University