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All Journal Journal of the Indonesian Mathematical Society JMPM: Jurnal Matematika dan Pendidikan Matematika BAREKENG: Jurnal Ilmu Matematika dan Terapan Unisda Journal of Mathematics and Computer Science (UJMC) EIGEN MATHEMATICS JOURNAL Contemporary Mathematics and Applications (ConMathA) JOURNAL SCIENTIFIC OF MANDALIKA (JSM) Journal of Coastal and Ocean Sciences Jurnal Diferensial Journal of Fundamental Mathematics and Applications (JFMA) Jurnal Pepadu Jurnal Pengabdian Inovasi Masyarakat Indonesia Sinergi dan Harmoni Masyarakat MIPA
Maulana, Fariz
Department Of Mathematics, Universitas Mataram, Indonesia
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Ekivalensi Ideal Hampir Prima dan Ideal Prima pada Bilangan Bulat Gauss Fariz Maulana; I Gede Adhitya Wisnu Wardhana; Ni Wayan Switrayni
Eigen Mathematics Journal Vol. 2 No. 1 Juni 2019
Publisher : University of Mataram

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (256.861 KB) | DOI: 10.29303/emj.v1i1.29

Abstract

Kriptografi adalah salah satu cabang ilmu matematika yang banyak digunakan pada sistem keamanan digital. Kriptografi itu sendiri berkaitan dengan bilangan bulat dan sifat-sifatnya, terutama bilangan prima. Lebih spesifik, beberapa algoritma penting seperti RSA, sangat bergantung pada faktorisasi prima dari bilangan bulat. Abstraksi bilangan prima diperkenalkan oleh Dedekind pada tahun 1871, dikenal dengan nama ideal prima. Ideal prima diperumum oleh Bhatwadekar pada tahun 2009 dan dinamakan ideal hampir prima. Paper ini akan membuktikan bahwa ideal hampir prima dan ideal prima di bilangan bulat Gasuss adalah ekivalen
Sebuah Karakteristik dari Modul Uniserial dan Gelanggang Uniserial I Gede Adhitya Wisnu Wisnu Wardhana; Fariz Maulana
Unisda Journal of Mathematics and Computer Science (UJMC) Vol 7 No 2 (2021): Unisda Journal of Mathematics and Computer science
Publisher : Mathematics Department of Mathematics and Natural Sciences Unisda Lamongan

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.52166/ujmc.v7i2.2674

Abstract

The module is a generalization of the vector space. The module that will be discussed is a uniserial module, which is a module that only has one composition series. A uniserial ring is a ring whose module over itself is uniserial. The uniserial ring is an Artin and local ring, but the converse is not necessarily true. In this paper, we will discuss Artin and local ring with additional properties so that it is characteristics of the uniserial ring.
PELATIHAN PEMBUATAN KUIS INTERAKTIF DENGAN APLIKASI QUIZIZZ DALAM PEMBELAJARAN MATEMATIKA Jurnal Pepadu; Ni Wayan Switrayni; I Gede Adhitya Wisnu Wardhana; Irwansyah Irwansyah; Qurratul Aini; Salwa Salwa; Zata Yumni Awanis; Fariz Maulana
Jurnal Pepadu Vol. 4 No. 1 (2023): Jurnal Pepadu
Publisher : LPPM UNIVERSITAS MATARAM

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.29303/pepadu.v4i1.2244

Abstract

Akhir-akhir ini pembelajaran dalam beberapa jenjang pendidikan dilakukan dengan sistem blended learning yaitu memadukan pembelajaran daring dan luring. Dalam kombinasi proses pembelajaran tersebut guru masih kesulitan memberikan materi dan evaluasi pembelajaran matematika yang interaktif dan menyenangkan. Masalah ini dialami pula oleh para guru di Madrasah Aliyah Manhalul Ma’arif. Oleh karena itu, untuk mengatasi masalah tersebut, kegiatan Pengabdian Kepada Masyarakat ini bertujuan untuk mengenalkan para guru Madrasah Aliyah Manhalul Ma’arif khususnya untuk guru matematika dengan pembuatan slide pembelajaran dan kuis interaktif menggunakan aplikasi Quizizz. Adapun metode yang digunakan adalah dalam bentuk pelatihan secara luring. Pelaksanaan Kegiatan Pengabdian Kepada Masyarakat ini sudah berjalan dengan cukup baik dan lancar. Para guru sangat antusias dalam proses pelatihan dan merasakan bahwa kegiatan ini bermanfaat bagi mereka dalam menyusun slide pembelajaran matematika yang interaktif. Dapat disimpulkan bahwa melalui pelatihan ini, para guru Madrasah Aliyah Manhalul Ma’arif sudah mengenal dan mampu menciptakan materi pembelajaran matematika dalam bentuk slide pembelajaran dan quiz interaktif dan menyenangkan bagi para siswa menggunakan aplikasi Quizizz.
Prime submodul of an integer over itself Muhammad Rijal Alfian; Fariz Maulana; Ni Wayan Switrayni; Qurratul Aini; Dwi Noorma Putri; I Gede Adhitya Wisnu Wardhana
Eigen Mathematics Journal Vol. 5 No. 1 Juni 2022
Publisher : University of Mataram

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.29303/emj.v5i1.132

Abstract

One of the sciences used in digital security systems is cryptography. Cryptography is closely related to the integer system, especially prime numbers. Prime numbers themselves have been abstracted a lot. One form of abstraction of prime numbers is the prime ideal. Previous studies have proven that an Ideal  is said to be a prime ideal on  if and only if I is constructed by a prime element. Other studies have also shown how the prime ideal develops. One of them is the research result of Dauns, where the prime ideal form is developed in the form of a prime submodule. A prime submodule is one of the objects in the module, which is an abstraction of prime numbers. Based on these things, it is exciting if the properties of the prime submodule are applied to other module forms, one of which is the integer module.
Pengenalan Teori Permainan dan Statistika Dasar ke Siswa SMAN 1 Selong dengan Pendekatan MSJ Ayes Malona Siboro; Bulqis Nebulla Syechah; Dina Eka Putri; Fariz Maulana; I Gede Adhitya Wisnu Wardhana; Irwansyah Irwansyah; Lailia Awalushaumi; Lalu Hasan Ghoffari; Lalu Riski Wirendra Putra; Muhammad Naoval Husni; Nur Asmita Purnamasari; Nuzla Af'idatur Robbaniyyah; Salwa Salwa; Qurratul Aini; Zata Yumni Awanis
Jurnal Pengabdian Inovasi Masyarakat Indonesia Vol. 2 No. 2 (2023): Edisi Agustus
Publisher : Program Studi Pendidikan Kimia FKIP Universitas Mataram

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.29303/jpimi.v2i2.2893

Abstract

The community engagement activity carried out by the teaching team from the Mathematics Program of the Faculty of Mathematics and Natural Sciences at Universitas Mataram to SMAN 1 Selong has successfully introduced students to the importance of statistics and game theory in decision-making. Through stories and real-life cases, students are encouraged to consider factors such as averages and standard deviations in making informed decisions. They also learn about the story of John Nash, who discovered game theory, and compare it to the economic principles of Adam Smith. Students realize that collective interests can lead to better outcomes than personal interests. In the case of The Prisoner's Dilemma, students also see the importance of game theory in the context of collective decision-making. Overall, this activity helps students understand the importance of statistics and game theory in the decision-making process.
Molecular Topology Index of a Zero Divisor Graph on a Ring of Integers Modulo Prime Power Order Satriawan, Didit; Aini, Qurratul; Abdurahim; Maulana, Fariz; Wardhana, I Gede Adhitya Wisnu
Contemporary Mathematics and Applications (ConMathA) Vol. 6 No. 2 (2024)
Publisher : Universitas Airlangga

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.20473/conmatha.v6i2.54737

Abstract

In chemistry, graph theory has been widely utilized to address molecular problems, with numerous applications in graph theory and ring theory within this field. One of these applications involves topological indices that represent chemical structures with numerical values. Various types of topological indices exist, including the Wiener index, the first Zagreb index, and the hyper-Wiener index. In the context of this research, the values of the Wiener index, the first Zagreb index, and the hyper-Wiener index for zero-divisor graphs on the ring of integers modulo a prime power order will be explored through a literature review and conjecture.
SOMBOR INDEX AND ITS GENERALIZATION OF POWER GRAPH OF SOME GROUP WITH PRIME POWER ORDER Pratama, Rendi Bahtiar; Maulana, Fariz; Hijriati, Na'imah; Wardhana, I Gede Adhitya Wisnu
Journal of Fundamental Mathematics and Applications (JFMA) Vol 7, No 2 (2024)
Publisher : Diponegoro University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.14710/jfma.v7i2.22552

Abstract

Graphs are an intriguing topic of discussion due to their numerous applications, particularly in chemistry. Topological indices derived from graph representations of molecules enable us to predict various properties of these compounds, including their physical characteristics, chemical reactivity, biological activity, toxicity, and atom-to-atom interactions. More recently, graphs have also been utilized to depict abstract mathematical objects such as groups. A notable example of graph representation in group theory is seen in power graphs. This research explores new graph topological indices based on vertex degrees, inspired by the Euclidean metric, particularly the Sombor index, and its application to the power graph of the integer modulo group and the dihedral group. The primary outcome of this study is the derivation of a general formula for the Sombor index and its generalization.
Graf Nilpoten Dari Gelanggang Bilangan Bulat Modulo Berorde Pangkat Prima Malik, Deny Putra; Wardhana, I Gede Adhitya Wisnu; Dewi, Putu Kartika; Widiastuti, Ratna Sari; Maulana, Fariz; Syarifudin, Abdul Gazir; Awanis, Zata Yumni
JMPM: Jurnal Matematika dan Pendidikan Matematika Vol 8 No 1 (2023): March - August 2023
Publisher : Prodi Pendidikan Matematika Universitas Pesantren Tinggi Darul Ulum Jombang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.26594/jmpm.v8i1.2920

Abstract

Nilpotent graph of ring integer modulo is one of the graph representations in algebraic structures. This study aims to find out the shape and properties of a nilpotent graph of ring prime numbers modulo which is then generalized to a ring of integers modulo with arbitrary prime power. The method used in this research is a literature study. In the ring of integer modulo, we get the shape of a nilpotent graph as a star graph. Then, the characteristic of a nilpotent graph on a ring integer modulo with arbitrary prime power is that it contains a complete subgraph and contains a number of as a star subgraph.
Forgotten Topological Index of The Zero Divisor Graph for Some Rings of Integers Semil @ Ismail, Ghazali; Sarmin, Nor Haniza; Alimon, Nur Idayu; Maulana, Fariz
Journal of the Indonesian Mathematical Society Vol. 31 No. 1 (2025): MARCH
Publisher : IndoMS

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22342/jims.v31i1.1827

Abstract

A topological index is a numerical value that provides information about the structure of a graph. Among various degree-based topological indices, the forgotten topological index (F-index) is of particular interest in this study. The F-index is calculated for the zero divisor graph of a ring R. In graph theory, the zero divisor graph of R is defined as a graph with vertex set the zero-divisors of R, and for distinct vertices a and b are adjacent if a · b = 0. This research focuses on the zero divisor graph of the commutative ring of integers modulo 2ρn where ρ is an odd prime and n is a positive integer. The objectives are to determine the set of all zero divisors, analyze the vertex degrees of the graph, and then compute the F-index of the zero divisor graph. Using algebraic techniques, we derive the degree of each vertex, the distribution of vertex degrees, and the number of edges in the graph. The general expression for the F-index of the zero divisor graph for the ring is established. The results contribute to understanding topological indices for algebraic structures, with potential applications in chemical graph theory and related disciplines.
Tidal and Bathymetry Characteristics in Dumai River Estuary in Dumai City, Riau Province Maulana, Fariz; Mubarak, Mubarak; Rifardi, Rifardi
Journal of Coastal and Ocean Sciences Vol. 5 No. 3 (2024): September
Publisher : Department of Marine Science, Faculty of Fisheries and Marine Universitas Riau

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31258/jocos.5.3.151-158

Abstract

This research was carried out in July 2023 in Muara Sungai Dumai, Dumai City, Riau Province. This study aims to conduct depth mapping analysis using echosounders based on reference corrections to tides. Tidal analysis is performed to determine reference values such as MSL (Mean Sea level) and tidal characteristics. The methods used are survey methods and quantitative analysis. The results showed that the waters of the Dumai River Estuary were mixed tide prevailing semi-diurnal with a formzahl value of 0.29. There is tidal asymmetry with the time to the high tide faster than the time to low tide. The depth ranges from 0.28 to 7.34 m, increasing to 40 m in the Rapat Strait. The weak current and the difference in HHWL values of 3.55 m and MSL 0.14 m affect water level rise due to bathymetric changes at high tide.
Co-Authors Abdul Gazir Syarifudin Abdul Halim Anshor Abdurahim, Abdurahim Afdhaluzzikri, M. Alimon, Nur Idayu Ayes Malona Siboro Biswas, Hena Rani Dewi, Putu Kartika Dina Eka Putri Dwi Noorma Putri Farwan, Farwan Fernanda, Arif Graha, Syifa Salsabila Satya Hijriati, Naimah I Gede Adhitya Wisnu Wardhana Irwansyah Irwansyah Irwansyah Irwansyah Jurnal Pepadu Karang, Gusti Yogananda Lailia Awalushaumi Lalu Hasan Ghoffari Lalu Riski Wirendra Putra Malik, Deny Putra Mamika Ujianita Romdhini, Mamika Ujianita Mubarak Mubarak Muhammad Naoval Husni Muhammad Rijal Alfian Ni Wayan Switrayni Nur Asmita Purnamasari Nuzla Af'idatur Robbaniyyah Pradana, Satriawan Pratama, Rendi Bahtiar Pratiwi, Lia Fitta Putra, Lalu Riski Wirendra Putri, Syaftirridho Qurratul Aini Qurratul Aini Respiar, Boby Rifardi Rio Satriyantara Robbaniyyah, Nuzla Af’idatur Salwa Salwa Salwa Salwa Sarmin, Nor Haniza Satriawan, Didit Semil @ Ismail, Ghazali Siboro, Ayes Malona Taryadi Taryadi Wahidah, Fathul Maulina Widiastuti, Ratna Sari Zata Yumni Awanis Zata Yumni Awanis