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Pure Multiplication Module over Dedekind Domain

KUBIK: Jurnal Publikasi Ilmiah Matematika · Vol. 9 No. 1 (2024) · pp. 30–35

DOI
10.15575/kubik.v9i1.33207
ISSN
2686-0341, 2338-0896
Published
2024-06-02
Publisher
Department of Mathematics, Faculty of Science and Technology, UIN Sunan Gunung Djati Bandung
Language
eng

Abstract

Various studies have explored the fascinating characteristics of modules over discrete valuation domain. One notable finding is that the multiplication module is regarded as indecomposable within a discrete valuation domain. Based on this distinctive property, a categorization of weak and pure multiplication modules over discrete valuation domain is established. A notable property of a discrete valuation ring is its role as the localization of a Dedekind domain. With this connection, there has been a classification of weak multiplication modules over the Dedekind domain. In this article, we examine the characteristics of the discrete valuation domain and the properties of pure multiplication modules over the discrete valuation domain, which collectively contribute to the properties of pure multiplication modules over the Dedekind domain.       Â

Keywords

Collaboration network of the authors

20 authors · 33 co-authorship links

Hover or tap a name to highlight its co-authors. Double-click to open the author's page.

  • Universitas Halu Oleo
  • Indonesia Open University
  • State University of Semarang
  • Affiliation unknown
  • Different organisations
  • Same organisation
  • Affiliation unknown
  • Thicker line = more joint articles · bigger circle = more articles
Show as table
Co-authorOrganisationJoint articles
Jahidin JahidinAffiliation unknown1
Yuliana YulianaAffiliation unknown1
Jamhir SafaniUniversitas Halu Oleo1
Ilham IlhamAffiliation unknown1
Jamal HarimudinAffiliation unknown1
Jafar JafarIndonesia Open University1
La ArapuAffiliation unknown1
Henny Puji AstutiAffiliation unknown1
Cepi KurniawanState University of Semarang1
Harjono HarjonoAffiliation unknown1
Hasgimianti HasgimiantiAffiliation unknown1
Rahima RajaAffiliation unknown1
Herlinda FitraAffiliation unknown1
Ida Abdul GoparAffiliation unknown1
Heni MulyasariAffiliation unknown1
Yudistia Teguh Ali FikriAffiliation unknown1
Ichsan FajarAffiliation unknown1

Affiliations come from OpenAlex; journal OAI-PMH metadata carries none. Authors without an OpenAlex ID are matched by name, which can merge or split people.

Metadata source: OAI-PMH (metadata jurnal) https://journal.uinsgd.ac.id/index.php/kubik/oai, first harvested 7 Nov 2026, last seen 8 Nov 2026.
Original metadata (oai_dc) 
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	<dc:title xml:lang="en-US">Pure Multiplication Module over Dedekind Domain</dc:title>
	<dc:creator>Nurhalimah, Luthfia</dc:creator>
	<dc:creator>Kusniyanti, Elvira</dc:creator>
	<dc:creator>Irawati, Irawati</dc:creator>
	<dc:subject xml:lang="en-US">the Dedekind Domain</dc:subject>
	<dc:subject xml:lang="en-US">Discrete Valuation Domain</dc:subject>
	<dc:subject xml:lang="en-US">Invertible Ideal</dc:subject>
	<dc:description xml:lang="en-US">Various studies have explored the fascinating characteristics of modules over discrete valuation domain. One notable finding is that the multiplication module is regarded as indecomposable within a discrete valuation domain. Based on this distinctive property, a categorization of weak and pure multiplication modules over discrete valuation domain is established. A notable property of a discrete valuation ring is its role as the localization of a Dedekind domain. With this connection, there has been a classification of weak multiplication modules over the Dedekind domain. In this article, we examine the characteristics of the discrete valuation domain and the properties of pure multiplication modules over the discrete valuation domain, which collectively contribute to the properties of pure multiplication modules over the Dedekind domain.              </dc:description>
	<dc:publisher xml:lang="en-US">Department of Mathematics, Faculty of Science and Technology, UIN Sunan Gunung Djati Bandung</dc:publisher>
	<dc:date>2024-06-02</dc:date>
	<dc:type>info:eu-repo/semantics/article</dc:type>
	<dc:type>info:eu-repo/semantics/publishedVersion</dc:type>
	<dc:type xml:lang="en-US">Peer-reviewed Article</dc:type>
	<dc:format>application/pdf</dc:format>
	<dc:identifier>https://journal.uinsgd.ac.id/index.php/kubik/article/view/33207</dc:identifier>
	<dc:identifier>10.15575/kubik.v9i1.33207</dc:identifier>
	<dc:source xml:lang="en-US">KUBIK: Jurnal Publikasi Ilmiah Matematika; Vol. 9 No. 1 (2024): KUBIK: Jurnal Publikasi Ilmiah Matematika; 30-35</dc:source>
	<dc:source xml:lang="id-ID">KUBIK; Vol 9 No 1 (2024): KUBIK: Jurnal Publikasi Ilmiah Matematika; 30-35</dc:source>
	<dc:source>2686-0341</dc:source>
	<dc:source>2338-0896</dc:source>
	<dc:source>10.15575/kubik.v9i1</dc:source>
	<dc:language>eng</dc:language>
	<dc:relation>https://journal.uinsgd.ac.id/index.php/kubik/article/view/33207/10809</dc:relation>
	<dc:rights xml:lang="en-US">Copyright (c) 2024 Luthfia Nurhalimah</dc:rights>
</oai_dc:dc>