Melola Discovery

← Melola Discovery

Open access Journal

Direct Sums of Prime Subsemimodules

Jumlah Langsung Subsemimodul Prima

Jurnal Matematika, Statistika dan Komputasi · Vol. 18 No. 2 (2022) · pp. 169–173

DOI
10.20956/j.v18i2.16669
ISSN
2614-8811, 1858-1382
Published
2022-01-01
Publisher
Department of Mathematics, Hasanuddin University
Language
en
License
creativecommons.org/licenses/by/4.0

Abstract

English

Let be a commutative semiring. A semimodule over a semiring is a fully prime semimodule if each proper subsemimodule of is prime. This research aims to investigate the relationship between a direct sum of prime subsemimodules and,, and a fully prime semimodule.

Indonesian

Misalkan adalah semiring komutatif. Semimodul atas semiring merupakan semimodul prima penuh apabila semua subsemimodul sejatinya merupakan subsemimodul prima. Penelitian ini bertujuan menyelidiki hubungan antara jumlah langsung dari subsemimodul prima dan,, dengan semimodul prima penuh.

Keywords

Collaboration network of the authors

31 authors · 57 co-authorship links

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

  • Universitas Halu Oleo
  • Cenderawasih University
  • IPB 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
Ainun Mawaddah AbdalAffiliation unknown2
Amir Kamal AmirAffiliation unknown2
Yuliana YulianaCenderawasih University1
Jahidin JahidinAffiliation unknown1
Jamhir SafaniUniversitas Halu Oleo1
Ilham IlhamAffiliation unknown1
Jafriati JafriatiUniversitas Halu Oleo1
Lymbran TinaAffiliation unknown1
Jamal HarimudinAffiliation unknown1
Jafar JafarAffiliation unknown1
La ArapuAffiliation unknown1
Ervizal A.M. ZuhudIPB University1
Agustina Y.S. ArobayaAffiliation unknown1
Iskandar Z. SiregarAffiliation unknown1
Jeriko GormantaraAffiliation unknown1
Evan RamdanAffiliation unknown1
EDY SAPUTRA RUSDIAffiliation unknown1
Illuminata WynnieAffiliation unknown1
Amil SiddikAffiliation unknown1
Mauliddin MauliddinAffiliation unknown1
Edi KurniadiAffiliation unknown1
Andi Muhammad Amil SiddikAffiliation unknown1
A. Muh. Amil SiddikAffiliation unknown1
Syamsuddin ToahaAffiliation unknown1
Jeki SaputraAffiliation unknown1
Henny Puji AstutiAffiliation unknown1
Cepi KurniawanState University of Semarang1
Harjono HarjonoAffiliation 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.unhas.ac.id/index.php/jmsk/oai, first harvested 5 Nov 2026, last seen 5 Nov 2026.
Original metadata (oai_dc) 
<oai_dc:dc xmlns="http://www.openarchives.org/OAI/2.0/" xmlns:dc="http://purl.org/dc/elements/1.1/" xmlns:oai_dc="http://www.openarchives.org/OAI/2.0/oai_dc/" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xsi:schemaLocation="http://www.openarchives.org/OAI/2.0/oai_dc/  http://www.openarchives.org/OAI/2.0/oai_dc.xsd">
	<dc:title xml:lang="en">Direct Sums of Prime Subsemimodules</dc:title>
	<dc:title xml:lang="id">Jumlah Langsung Subsemimodul Prima</dc:title>
	<dc:creator xml:lang="en">Anwar, Andi Muhammad</dc:creator>
	<dc:creator xml:lang="en">Garminia, Hanni </dc:creator>
	<dc:creator xml:lang="en">Irawati, Irawati</dc:creator>
	<dc:subject xml:lang="en">prime subsemimodules</dc:subject>
	<dc:subject xml:lang="en">fully prime semimodules</dc:subject>
	<dc:subject xml:lang="en">semirings</dc:subject>
	<dc:subject xml:lang="id">subsemimodul prima</dc:subject>
	<dc:subject xml:lang="id">semimodul prima penuh</dc:subject>
	<dc:subject xml:lang="id">semiring</dc:subject>
	<dc:description xml:lang="en">Let &amp;nbsp;be a commutative semiring. A semimodule &amp;nbsp;over a semiring &amp;nbsp;is&amp;nbsp; a fully prime semimodule if each proper subsemimodule of &amp;nbsp;is prime. This research aims to investigate the relationship between a direct sum of prime subsemimodules&amp;nbsp; &amp;nbsp;and &amp;nbsp;, &amp;nbsp;, and a fully prime semimodule.</dc:description>
	<dc:description xml:lang="id">Misalkan &amp;nbsp;adalah semiring komutatif. Semimodul &amp;nbsp;atas semiring &amp;nbsp;merupakan semimodul prima penuh apabila semua subsemimodul sejatinya merupakan subsemimodul prima. Penelitian ini bertujuan menyelidiki hubungan antara jumlah langsung dari subsemimodul prima &amp;nbsp;dan ,&amp;nbsp; , dengan semimodul prima penuh.</dc:description>
	<dc:publisher xml:lang="en">Department of Mathematics, Hasanuddin University</dc:publisher>
	<dc:date>2022-01-01</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/16669</dc:identifier>
	<dc:identifier>10.20956/j.v18i2.16669</dc:identifier>
	<dc:source xml:lang="en">Jurnal Matematika, Statistika dan Komputasi; Vol. 18 No. 2 (2022): JANUARY 2022; 169-173</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/16669/7605</dc:relation>
	<dc:relation>10.20956/j.v18i2.16669.g7605</dc:relation>
	<dc:rights xml:lang="en">Copyright (c) 2021 Author and publisher</dc:rights>
	<dc:rights xml:lang="en">https://creativecommons.org/licenses/by/4.0</dc:rights>
</oai_dc:dc>