Direct Sums of Prime Subsemimodules

Anwar, Andi Muhammad; Garminia, Hanni; Irawati, Irawati

doi:10.20956/j.v18i2.16669

Open access Jurnal

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.

Bahasa Indonesia

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

28 authors · 53 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
Affiliation unknown

Different organisations
Same organisation
Affiliation unknown
Thicker line = more joint articles · bigger circle = more articles

Show as table

Co-author	Organisation	Joint articles
Ainun Mawaddah Abdal	Affiliation unknown	2
Amir Kamal Amir	Affiliation unknown	2
Yuliana Yuliana	Cenderawasih University	1
Jahidin Jahidin	Affiliation unknown	1
Jamhir Safani	Universitas Halu Oleo	1
Ilham Ilham	Affiliation unknown	1
Jafriati Jafriati	Universitas Halu Oleo	1
Lymbran Tina	Affiliation unknown	1
Jamal Harimudin	Affiliation unknown	1
Jafar Jafar	Affiliation unknown	1
La Arapu	Affiliation unknown	1
Ervizal A.M. Zuhud	IPB University	1
Agustina Y.S. Arobaya	Affiliation unknown	1
Iskandar Z. Siregar	Affiliation unknown	1
Jeriko Gormantara	Affiliation unknown	1
Evan Ramdan	Affiliation unknown	1
EDY SAPUTRA RUSDI	Affiliation unknown	1
Illuminata Wynnie	Affiliation unknown	1
Amil Siddik	Affiliation unknown	1
Mauliddin Mauliddin	Affiliation unknown	1
Edi Kurniadi	Affiliation unknown	1
Andi Muhammad Amil Siddik	Affiliation unknown	1
A. Muh. Amil Siddik	Affiliation unknown	1
Syamsuddin Toaha	Affiliation unknown	1
Jeki Saputra	Affiliation unknown	1

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)

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	<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>
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	<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>
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