Faisol, Ahmad and Surodjo, Budi and Wahyuni, Sri (2019) The Relation between Almost Noetherian Module, Almost Finitely Generated Module and T-Noetherian Module. Journal of Physics: Conference Series. pp. 1-7.

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Official URL: https://iopscience.iop.org/article/10.1088/1742-65...

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]].

Item Type: Article
Subjects: Q Science > QA Mathematics
Divisions: Fakultas Matematika dan Ilmu Pengetahuan Alam (FMIPA) > Prodi Matematika
Depositing User: AHMAD FAISOL
Date Deposited: 16 Oct 2019 03:12
Last Modified: 16 Oct 2019 03:12
URI: http://repository.lppm.unila.ac.id/id/eprint/14161

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