THE IMPLEMENTATION OF A ROUGH SET OF PROJECTIVE MODULE
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....
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Universitas Pattimura
2023-06-01
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| Series: | Barekeng |
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| Online Access: | https://ojs3.unpatti.ac.id/index.php/barekeng/article/view/7726 |
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| author | Gusti Ayu Dwiyanti Fitriani Fitriani Ahmad Faisol |
| author_facet | Gusti Ayu Dwiyanti Fitriani Fitriani Ahmad Faisol |
| author_sort | Gusti Ayu Dwiyanti |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-5e5f3b4e2ce4498dae31d68a3ba3c81c |
| institution | Kabale University |
| issn | 1978-7227 2615-3017 |
| language | English |
| publishDate | 2023-06-01 |
| publisher | Universitas Pattimura |
| record_format | Article |
| series | Barekeng |
| spelling | doaj-art-5e5f3b4e2ce4498dae31d68a3ba3c81c2025-08-20T04:00:55ZengUniversitas PattimuraBarekeng1978-72272615-30172023-06-011720735074410.30598/barekengvol17iss2pp0735-07447726THE IMPLEMENTATION OF A ROUGH SET OF PROJECTIVE MODULEGusti Ayu Dwiyanti0Fitriani Fitriani1Ahmad Faisol2Department of Mathematics, Universitas Lampung, IndonesiaDepartment of Mathematics, Universitas Lampung, IndonesiaDepartment of Mathematics, Universitas Lampung, IndonesiaIn 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.https://ojs3.unpatti.ac.id/index.php/barekeng/article/view/7726approximation spaceprojective modulerough projective module |
| spellingShingle | Gusti Ayu Dwiyanti Fitriani Fitriani Ahmad Faisol THE IMPLEMENTATION OF A ROUGH SET OF PROJECTIVE MODULE Barekeng approximation space projective module rough projective module |
| title | THE IMPLEMENTATION OF A ROUGH SET OF PROJECTIVE MODULE |
| title_full | THE IMPLEMENTATION OF A ROUGH SET OF PROJECTIVE MODULE |
| title_fullStr | THE IMPLEMENTATION OF A ROUGH SET OF PROJECTIVE MODULE |
| title_full_unstemmed | THE IMPLEMENTATION OF A ROUGH SET OF PROJECTIVE MODULE |
| title_short | THE IMPLEMENTATION OF A ROUGH SET OF PROJECTIVE MODULE |
| title_sort | implementation of a rough set of projective module |
| topic | approximation space projective module rough projective module |
| url | https://ojs3.unpatti.ac.id/index.php/barekeng/article/view/7726 |
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