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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Bibliographic Details
Main Authors: Gusti Ayu Dwiyanti, Fitriani Fitriani, Ahmad Faisol
Format: Article
Language:English
Published: Universitas Pattimura 2023-06-01
Series:Barekeng
Subjects:
Online Access:https://ojs3.unpatti.ac.id/index.php/barekeng/article/view/7726
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Summary: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.
ISSN:1978-7227
2615-3017