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All Journal IAES International Journal of Artificial Intelligence (IJ-AI) Jurnal Pendidikan Matematika Jurnal Sains Teknologi dan Lingkungan (JSTL) Jurnal Pilar Nusa Mandiri JURNAL SILOGISME : Kajian Ilmu Matematika dan Pembelajarannya EXPLORE EIGEN MATHEMATICS JOURNAL Jurnal Teknologi Informasi dan Terapan (J-TIT) Jurnal Varian Contemporary Mathematics and Applications (ConMathA) Majalah Ilmiah Matematika dan Statistika (MIMS) EXPLORE Jurnal Pepadu Bakti Sekawan : Jurnal Pengabdian Masyarakat Basis : Jurnal Ilmiah Matematika Jurnal Sains Natural Darma Diksani: Jurnal Pengabdian Ilmu Pendidikan, Sosial, dan Humaniora Semeton Mathematics Journal Sinergi dan Harmoni Masyarakat MIPA IJASDS: Indonesian Journal of Applied Statistics and Data Science
Muhammad Rijal Alfian
Program Studi Matematika, Fakultas MIPA, Universitas Mataram
Religion Agriculture, Biological Sciences & Forestry Humanities Chemical Engineering, Chemistry & Bioengineering Civil Engineering, Building, Construction & Architecture Computer Science & IT Control & Systems Engineering Decision Sciences, Operations Research & Management Economics, Econometrics & Finance Education Electrical & Electronics Engineering Engineering Environmental Science Health Professions Languange, Linguistic, Communication & Media Materials Science & Nanotechnology Mathematics Nursing Physics Public Health Social Sciences Other

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Journal : EIGEN MATHEMATICS JOURNAL

 1 
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.
The Extended Metric Space on Max-Plus Algebra Putra, Lalu Riski Wirendra; Aini, Qurratul; Alfian, Muhammad Rijal
Eigen Mathematics Journal Vol 8 No 1 (2025): June
Publisher : University of Mataram

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.29303/emj.v8i1.254

Abstract

Max-Plus Algebra is the newly emerged mathematical object as one of the algebraic structures. Max Plus Algebra is a semi-ring with the maximum operation as its addition and the plus operation as its multiplication. In 2012, Carl et.al. established a novel notion about metric in max-plus geometry which is the semi-module over the semi-ring with maximum and addition biner operations. The writer researched to discover the distance function or metric, especially for the extended real-valued metric of Max-Plus Algebra and its properties with maximum and addition biner operations. By using both direct and indirect proof methods, the distance function of Max Plus Algebra and its topological properties were obtained.
Co-Authors Abdurahim, Abdurahim Abdurrahman Salim Agus Kurnia Agustina, Amalia Ahmad Subki ahmad yani Al Paqih, Muhammad Imam Anak Agung Istri Sri Wiadnyani Atikah, Tika Dewi Awalusshaumi, Lailia Azmi, Kamalatul Budhy Kurniawan Cahyani, Ade Indah Choirunnisa, Fajarani Dani, Ifan Hasnan Dwi Noorma Putri Efendi, Muhammad Masjun Fadillah, Muhammad Fatanaya, Nafika Galuh Tresnani Hambali Hambali Hamdi, Ahmadil Hamsini, Lasmi Hardi, Rida Alkausar Harsiyah, Lisa Harsyiah, Lisa Helmina Andriani Hidayat, Malik Hidayatullah, Azka Farris Hidayatunnisa, Nurul Humamurrizqi, Humamurrizqi I Gede Adhitya Wisnu Wardhana Immy Suci Rohyani Imran, Bahtiar Irwansyah Irwansyah ISLAMUL HADI Iswatun Hasanah Jamaludin . Karina Nurwijayanti Kusuma, Shendy Arya Lailia Awalushaumi Lailia Awalushaumi, Lailia Lalu Delsi Samsumar, M.Eng. Lestari, Natasya Dyahayu Maharadatunkamsi Maharadatunkamsi, Maharadatunkamsi Maharani, Andika Ellena Saufika Hakim Marwan - Marwan Marwan Marwan Marwan Maulana, Fariz Meida, Inka Nurul Moh Subli Moh. Subli Muhammad Masjun Efendi Ni Wayan Switrayni Nurlaila Mubarokah Nurul Fitriyani Nurul Inayah Nuzla Af'idatur Robbaniyyah Pradana, Satriawan Putra, Lalu Riski Wirendra Qurratul Aini Qurratul Aini Ramadhan, Hikmal Maulana Rani Maharani Ratih, Wahyu Erinna Rio Satriyantara Risnawati Risnawati Rizki Fitri Ananda Robbaniyyah, Nuzla Af'idatur Robbaniyyah, Nuzla Af’idatur Sadewo, Imran Safrudin, Muhamad Sahrin, Laila Alfi Salman Salman Salwa Salwa Saofitri, Saofitri Satryantara, Rio Setiandini, Gifani Putri Sholihah, Dynda Aisyah Syafitri Sigit Wiantoro, Sigit Subki, Ahmad Supardiono, Supardiono Syafitri, Hanna Syamsul Bahri Syamsul Bahri Syechah, Bulqis Nabula Syifa, Aulia Taufik Hidayat Tri Maryono Rusadi Ulatalita, Nabila Anzela Ulfa, Kurnia Wardana, I Gede Adhitya Wisnu Widiawati, Tari Utami Yuliadi Zamroni Yunus, Muhammad Ahladi Zaeniah Zaeniah Zahro, Annisa Syifa Zikri, Lalu Muhammad Faiz Zulhan Widya Baskara