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THE IMPLEMENTATION OF A ROUGH SET OF PROJECTIVE MODULE

BAREKENG: Jurnal Ilmu Matematika dan Terapan · Vol. 17 No. 2 (2023) · pp. 0735–0744

DOI
10.30598/barekengvol17iss2pp0735-0744
ISSN
2615-3017, 1978-7227
Published
2023-06-11
Publisher
PATTIMURA UNIVERSITY
Language
eng
License
creativecommons.org/licenses/by-sa/4.0

Abstract

In ring and module theory, one concept is the projective module. A module is said to be projective if it is a direct sum of independent modules. (U, R) is an approximation space with non-empty set and equivalence relation If X subset U, we can form upper approximation and lower approximation. X is rough set if upper Apr(X) is not equal to under Apr(X). The rough set theory applies to algebraic structures, including groups, rings, modules, and module homomorphisms. In this study, we will investigate the properties of the rough projective module.

Collaboration network of the authors

40 authors · 94 co-authorship links · showing the 40 most connected

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  • Universitas Halu Oleo
  • Affiliation unknown
  • Different organisations
  • Same organisation
  • Affiliation unknown
  • Thicker line = more joint articles · bigger circle = more articles
Show as table
Co-authorOrganisationJoint articles
Jamal HarimudinAffiliation unknown6
La Ode ResteleAffiliation unknown4
Jufri KarimUniversitas Halu Oleo3
Djafar MeyAffiliation unknown3
la Ode RustamAffiliation unknown2
Yoo Eka Yana KansilUniversitas Halu Oleo2
Safrudin SaharAffiliation unknown2
Ahmad HidayatAffiliation unknown2
Weka WidayatiAffiliation unknown2
Jamal HarimuddinAffiliation unknown2
Akbardiansyah AkbardiansyahAffiliation unknown2
Muhammad AnasAffiliation unknown1
Erniwati ErniwatiAffiliation unknown1
wa Ode YusriaAffiliation unknown1
Ahmad IskandarAffiliation unknown1
La Ode KaimudinAffiliation unknown1
Suriana SurianaAffiliation unknown1
Musadar MappasombaAffiliation unknown1
Fahyuddin FahyuddinAffiliation unknown1
Jamili JamiliAffiliation unknown1
Karsadi KarsadiAffiliation unknown1
Hamuni HamuniAffiliation unknown1
Hasbullah SyafAffiliation unknown1
Eka AprianaAffiliation unknown1
Azhar BafadalUniversitas Halu Oleo1
Mukhtar AbuUniversitas Halu Oleo1
Lade Albar KalzaUniversitas Halu Oleo1
Suhadi SuhadiAffiliation unknown1
Sinarwaty SinarwatyAffiliation unknown1
Endro SukotjoAffiliation unknown1
La HataniAffiliation unknown1
Adnan HakimAffiliation unknown1
Anita IndirasaryAffiliation unknown1
Lukman YunusAffiliation unknown1
Eulisa EulisaAffiliation unknown1
La Onu OlaAffiliation unknown1
Ade Rahmasari HarsonoAffiliation 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://ojs3.unpatti.ac.id/index.php/barekeng/oai, first harvested 5 Nov 2026, last seen 5 Nov 2026.
Original metadata (oai_dc) 
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	<dc:title xml:lang="en-US">THE IMPLEMENTATION OF A ROUGH SET OF  PROJECTIVE MODULE</dc:title>
	<dc:creator>Dwiyanti, Gusti Ayu</dc:creator>
	<dc:creator>Fitriani, Fitriani</dc:creator>
	<dc:creator>Faisol, Ahmad</dc:creator>
	<dc:description xml:lang="en-US">In ring and module theory, one concept is the projective module. A module is said to be projective if it is a direct sum of independent modules. (U, R)&amp;nbsp;&amp;nbsp;is an approximation space with non-empty set  &amp;nbsp;and equivalence relation  &amp;nbsp; If X subset U,&amp;nbsp;we can form upper approximation and lower approximation. X&amp;nbsp;is rough set if  &amp;nbsp;upper Apr(X) is not equal to under Apr(X). The rough set theory applies to algebraic structures, including groups, rings, modules, and module homomorphisms. In this study, we will investigate the properties of the rough projective module. </dc:description>
	<dc:publisher xml:lang="en-US">PATTIMURA UNIVERSITY</dc:publisher>
	<dc:date>2023-06-11</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://ojs3.unpatti.ac.id/index.php/barekeng/article/view/7726</dc:identifier>
	<dc:identifier>10.30598/barekengvol17iss2pp0735-0744</dc:identifier>
	<dc:source xml:lang="en-US">BAREKENG: Jurnal Ilmu Matematika dan Terapan; Vol 17 No 2 (2023): BAREKENG: Journal of Mathematics and Its Applications; 0735-0744</dc:source>
	<dc:source>2615-3017</dc:source>
	<dc:source>1978-7227</dc:source>
	<dc:source>10.30598/barekengvol17iss2year2023</dc:source>
	<dc:language>eng</dc:language>
	<dc:relation>https://ojs3.unpatti.ac.id/index.php/barekeng/article/view/7726/5935</dc:relation>
	<dc:rights xml:lang="en-US">Copyright (c) 2023 Gusti Ayu Dwiyanti, Fitriani Fitriani, Ahmad Faisol</dc:rights>
	<dc:rights xml:lang="en-US">http://creativecommons.org/licenses/by-sa/4.0</dc:rights>
</oai_dc:dc>