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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

17 authors · 31 co-authorship links · 8 across different organisations

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  • Lampung University
  • Universitas Halu Oleo
  • Hasanuddin University
  • Affiliation unknown
  • Different organisations
  • Same organisation
  • Affiliation unknown
  • Thicker line = more joint articles · bigger circle = more articles
Show as table
Co-authorOrganisationJoint articles
Siti RugayahLampung University2
Megawati OctaviaLampung University2
Desfan Desfan HafifullahLampung University2
Ditha Lathifatul MursyidahLampung University2
Bernadhita Herindri Samodera UtamiLampung University2
Sinarwaty SinarwatyUniversitas Halu Oleo1
Endro SukotjoUniversitas Halu Oleo1
La HataniUniversitas Halu Oleo1
Adnan HakimUniversitas Halu Oleo1
Jamal HarimudinUniversitas Halu Oleo1
Anita IndirasaryUniversitas Halu Oleo1
Abas RudinUniversitas Halu Oleo1
Erna Tri HerdianiHasanuddin University1
Saleh AfAffiliation 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>