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All Journal Semeton Mathematics Journal IJASDS: Indonesian Journal of Applied Statistics and Data Science
Luzianawati, Luzianawati
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Economics, Econometrics & Finance Environmental Science Mathematics Public Health Social Sciences

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Analisis Submodul dan Sifat Keprimaan dalam Ruang Modul Musyarrofah, Sefti Fajriatul; Karang, I Gusti Yogananda; Hisan, Khairatun; Luzianawati, Luzianawati
Semeton Mathematics Journal Vol 2 No 1 (2025): April
Publisher : Program Studi Matematika

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.29303/semeton.v2i1.262

Abstract

This study analyzes prime submodules and primality properties in module spaces, fundamental topics in abstract algebra. The primary objective is to determine conditions for prime submodule formation in commutative rings and to examine their relationship with nearly prime submodules. The approach employed involves the decomposition of modules in principal ideal domains, with particular attention given to the concepts of annihilators, submodule orders, and the characteristics of torsion-free quotient modules. The findings indicate that nearly prime submodules can only be regarded as prime submodules in free modules. Furthermore, the module decomposition approach proves effective for gaining a comprehensive understanding of module structures. The concepts of annihilators and submodule orders provide profound insights into the relationships between module elements and ring elements. This study offers significant theoretical contributions to abstract algebra and establishes a foundation for further developments, particularly in applications related to number theory and cryptography.
Indeks Harary Graf Koprima dan Graf Pangkat pada Grup Bilangan Bulat Modulo serta Grup Dihedral Luzianawati, Luzianawati; Satriyantara, Rio
Semeton Mathematics Journal Vol 2 No 2 (2025): Oktober
Publisher : Program Studi Matematika

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.29303/semeton.v2i2.307

Abstract

This study investigates the Harary Index of coprime graphs and power graphs constructed from the integer modulo group and the dihedral group. A coprime graph is defined as a graph whose vertices represent the elements of a group, where two vertices are adjacent if the orders of the corresponding elements are relatively prime. Meanwhile, a power graph is a graph in which two elements are connected whenever one is a power of the other within the group. The Harary Index is employed to measure the topological characteristics of the graph based on the distances between its vertices. The results show that the structure of the generated graphs allows for an explicit computation of the Harary Index, particularly for groups whose orders are prime powers.graphs facilitate the calculation of the Harary Index , especially for groups with prime power order.
Regresi Komponen Utama dalam Mengatasi Multikolinieritas pada Faktor-Faktor yang Mempengaruhi Inflasi di Indonesia Ningrum, Salsabila Hadi Putri; Hisan, Khairatun; Ramdhani, Triana Putri; Luzianawati, Luzianawati; Zindawi, M. Daffa Rizki; Harsyiah, Lisa
Indonesian Journal of Applied Statistics and Data Science Vol. 2 No. 1 (2025): Mei
Publisher : Universitas Mataram

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.29303/ijasds.v2i1.5827

Abstract

Inflation is a significant concern for a developing country like Indonesia. To effectively anticipate inflationary trends, it is essential to conduct statistical analysis to determine what factors can influence inflation. This study utilized Principal Component Regression (PCR) to address multicollinearity in the regression model linking inflation to various factors. The results revealed that transportation, food, electricity and household fuel factors positively correlate with inflation, while health, education and clothing show negative correlations. However, the resulting regression model proved to be inadequate, as evidenced by a very low R-square value. This highlights the necessity for further refinement of the model to provide better information in the context of inflation management in Indonesia.
Co-Authors Harsyiah, Lisa Hisan, Khairatun Karang, I Gusti Yogananda Musyarrofah, Sefti Fajriatul Ningrum, Salsabila Hadi Putri Ramdhani, Triana Putri Rio Satriyantara Zindawi, M. Daffa Rizki