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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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Journal : EIGEN MATHEMATICS JOURNAL

 1 
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
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.
Co-Authors Abdul Gazir Syarifudin Abdul Halim Anshor Abdullah, Umar Abdurahim, Abdurahim Afdhaluzzikri, M. Alimon, Nur Idayu Apriliana, Haeva 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 Hisan, Khairatun I Gede Adhitya Wisnu Wardhana Indrawadi, Dimas Irwansyah Irwansyah Irwansyah Irwansyah Jurnal Pepadu Karang, Gusti Yogananda Lailia Awalushaumi Lalu Hasan Ghoffari Lalu Riski Wirendra Putra Ma'wa, Jannatul Malik, Deny Putra Mamika Ujianita Romdhini, Mamika Ujianita Mubarak Mubarak Muhammad Naoval Husni Muhammad Rijal Alfian Musyarrofah, Sefti Fajriatul Ni Wayan Switrayni Nur Asmita Purnamasari Nuzla Af'idatur Robbaniyyah Pradana, Satriawan Pratama, Rendi Bahtiar Pratiwi, Lia Fitta Putra, Lalu Riski Wirendra Putri, Syaftirridho Qudrani, Rabbelia Qurratul Aini Qurratul Aini Respiar, Boby Rifardi Rio Satriyantara Robbaniyyah, Nuzla Af’idatur Rohiana, Siti Indah Salwa Salwa Salwa Salwa Sarmin, Nor Haniza Satriawan, Didit Semil @ Ismail, Ghazali Siboro, Ayes Malona Syawaludin, Muhammad Khair Taryadi Taryadi Wahidah, Fathul Maulina Widiastuti, Ratna Sari Zata Yumni Awanis Zata Yumni Awanis