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A Study of Noetherian and Artinian (R,S)-Modules

Jurnal Matematika, Statistika dan Komputasi · Vol. 22 No. 1 (2025) · hlm. 149–158

DOI
10.20956/j.v22i1.45166
ISSN
2614-8811, 1858-1382
Terbit
2025-09-08
Penerbit
Department of Mathematics, Hasanuddin University
Bahasa
en
Lisensi
creativecommons.org/licenses/by/4.0

Abstrak

As science develops, a module has been generalized to a new algebraic structure called -module. Some of the concepts in the module can also be extended into the -module structure. The concepts related to the Noetherian module and the Artinian module have never been developed into the -module structure. Therefore, this study aims to examine the development results related to the Noetherian module and the Artinian module in the -module. In this paper, we present the definition of Noetherian -module, the definition of Artinian -module, and the development results of its properties in the -module structure.

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10 penulis · 17 tautan kepenulisan bersama · 11 lintas organisasi

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  • Universitas Ahmad Dahlan
  • Universitas Gadjah Mada
  • Diponegoro University
  • Bandung Institute of Technology
  • Organisasi berbeda
  • Organisasi sama
  • Afiliasi tidak diketahui
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Tampilkan sebagai tabel
Rekan penulisOrganisasiArtikel bersama
Sandy Salomo SaruanBandung Institute of Technology2
NANDA SUBASTIANDiponegoro University2
Fayi Salsabila SumaryatiUniversitas Ahmad Dahlan1
Indah Emilia WijayantiUniversitas Gadjah Mada1
Budi SurodjoUniversitas Gadjah Mada1

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Sumber metadata: OAI-PMH (metadata jurnal) https://journal.unhas.ac.id/index.php/jmsk/oai, pertama di-harvest 5 Nov 2026, terakhir terlihat 8 Nov 2026.
Metadata asli (oai_dc) 
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	<dc:title xml:lang="en">A Study of Noetherian and Artinian (R,S)-Modules </dc:title>
	<dc:creator xml:lang="en">Yuwaningsih, Dian Ariesta</dc:creator>
	<dc:creator xml:lang="en">Cahyo, Yassin Dwi</dc:creator>
	<dc:creator xml:lang="en">Yanti, Gusti Ayu Dwi</dc:creator>
	<dc:creator xml:lang="en">Cahdriyana, Rima Aksen</dc:creator>
	<dc:creator xml:lang="en">Apriani, Dea</dc:creator>
	<dc:subject xml:lang="en">Noetherian</dc:subject>
	<dc:subject xml:lang="en">Artinian</dc:subject>
	<dc:subject xml:lang="en">(RS)-modul</dc:subject>
	<dc:description xml:lang="en">As science develops, a module has been generalized to a new algebraic structure called -module. Some of the concepts in the module can also be extended into the -module structure. The concepts related to the Noetherian module and the Artinian module have never been developed into the -module structure. Therefore, this study aims to examine the development results related to the Noetherian module and the Artinian module in the -module. In this paper, we present the definition of Noetherian -module, the definition of Artinian -module, and the development results of its properties in the -module structure.</dc:description>
	<dc:publisher xml:lang="en">Department of Mathematics, Hasanuddin University</dc:publisher>
	<dc:date>2025-09-08</dc:date>
	<dc:type>info:eu-repo/semantics/article</dc:type>
	<dc:type>info:eu-repo/semantics/publishedVersion</dc:type>
	<dc:format>application/pdf</dc:format>
	<dc:identifier>https://journal.unhas.ac.id/index.php/jmsk/article/view/45166</dc:identifier>
	<dc:identifier>10.20956/j.v22i1.45166</dc:identifier>
	<dc:source xml:lang="en">Jurnal Matematika, Statistika dan Komputasi; Vol. 22 No. 1 (2025): SEPTEMBER 2025; 149-158</dc:source>
	<dc:source>2614-8811</dc:source>
	<dc:source>1858-1382</dc:source>
	<dc:language>en</dc:language>
	<dc:relation>https://journal.unhas.ac.id/index.php/jmsk/article/view/45166/13337</dc:relation>
	<dc:rights xml:lang="en">Copyright (c) 2025 Jurnal Matematika, Statistika dan Komputasi</dc:rights>
	<dc:rights xml:lang="en">https://creativecommons.org/licenses/by/4.0</dc:rights>
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