Title | : | The Relation between Almost Noetherian Module, Almost Finitely Generated Module and T-Noetherian Module |
Author | : |
AHMAD FAISOL (1) Dr. Budi Surodjo, M.Si. (2) Prof. Dr. Sri Wahyuni, S.U. (3) |
Date | : | 8 2019 |
Keyword | : | - - |
Abstract | : | In this paper we study the relation between almost Noetherian modules, almost nitely generated (a.f.g.) modules, and T-Noetherian modules. We show that if R0 = fr 2 RjrM 6= Mg and M is an almost Noetherian (a.f.g. resp.) R-module, then M is an (R0)- Noetherian module. We also obtain that for any multiplicatively closed subset T of a ring R and R0 = fr 2 RjrM 6= Mg, if M is an almost Noetherian (a.f.g. resp.) R-module and T \ R0 6= ;, then M is (T \ R0)-Noetherian. Moreover, we show that if M is an almost Noetherian (a.f.g. resp.) R-module and T \ R0 6= ;, then M is an T-Noetherian module for every multiplicatively closed set T R. Finally, we apply the results of this paper on the structure of Generalized Power Series Module (GPSM) M[[S]]. |
Group of Knowledge | : | |
Level | : | Internasional |
Status | : |
Published
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Daftar-ISI-ICMETA-Faisol.pdf
Document Type : Daftar Isi
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The Relation between Almost Noetherian Module, Almost Finitely Generated Module and T-Noetherian Module.pdf
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sertifikat ICMETA.pdf
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Scopus - Document details - The Relation between Almost Noetherian Module, Almost Finitely Generated Module and T-Noetherian Module _ Signed in.pdf
Document Type : Dokumen Pendukung Karya Ilmiah (Hibah, Publikasi, Penelitian, Pengabdian)
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The Relation between Almost Noetherian Module, Almost Finitely Generated Module and T-Noetherian Module.pdf
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The Relation between Almost Noetherian Module, Almost Finitely Generated Module and T-Noetherian Module.pdf
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prosiding_2060476_7ea914f7d34dc2cbaad8d6e3adb9b0ef.pdf
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