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All Journal Jurnal Siasat Bisnis Jurnal Penelitian Pendidikan Guru Sekolah Dasar Afkaruna: Indonesian Interdisciplinary Journal of Islamic Studies Gadjah Mada International Journal of Business Media Trend: Berkala Kajian Ekonomi dan Studi Pembangunan Kubik Jurnal Ekonomi Syariah Teori dan Terapan Al-Ihkam: Jurnal Hukum dan Pranata Sosial Global Review of Islamic Economics and Business Jurnal Ekonomi dan Bisnis Islam Jurnal Ilmiah Ekonomi Islam Perisai : Islamic Banking and Finance Journal Economica: Jurnal Ekonomi Islam al-Uqud : Journal of Islamic Economics Al-Muzara'ah Jurnal Ekonomi & Keuangan Islam AFEBI Islamic Finance and Economic Review Muqtasid: Jurnal Ekonomi dan Perbankan Syariah MALIA Journal of Innovation in Business and Economics Amwaluna Jurnal Ekonomi dan Keuangan Syariah Journal of Islamic Monetary Economics and Finance PREPOTIF : Jurnal Kesehatan Masyarakat SEMAR KUBIK: Jurnal Publikasi Ilmiah Matematika Share: Jurnal Ekonomi dan Keuangan Islam BISMA (Bisnis dan Manajemen) Journal of Islamic Economic Literatures International Journal of Waqf Review on Islamic Accounting Islamic Social Finance Jurnal Riset Mahasiswa Matematika Islamic Economics Methodology Jurnal Abdimas Jatibara Fara'id and Wealth Management Maqasid al-Shariah Review Management and Sustainability Accounting and Sustainability Business and Sustainability IEFBR: Islamic Economics, Finance, and Banking Review Journal of Research on Community Engagement
Nisful Laila
Faculty Of Economic And Business, Airlangga University
Religion Humanities Computer Science & IT Decision Sciences, Operations Research & Management Economics, Econometrics & Finance Education Environmental Science Health Professions Languange, Linguistic, Communication & Media Law, Crime, Criminology & Criminal Justice Library & Information Science Mathematics Medicine & Pharmacology Nursing Public Health Social Sciences Other

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Journal : Kubik

 1 
On the Forgotten Index and Jacobson Graphs Associated with Integer Rings Modulo n Jauhari, Mohammad Nafie; Jannah, Shahnaz Latifatul; Turmudi, Turmudi; Nisfulaila, Intan
KUBIK Vol 9, No 2 (2024): KUBIK: Jurnal Publikasi Ilmiah Matematika
Publisher : Jurusan Matematika, Fakultas Sains dan Teknologi, UIN Sunan Gunung Djati Bandung

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.15575/kubik.v9i2.39585

Abstract

This paper investigates the connections between the Jacobson graph and the algebraic properties of rings through the analysis of the Jacobson graph of the ring \mathbb{Z}_{3p}, where p is a prime number greater than 3. The Jacobson graph of a commutative ring R is constructed by taking the elements of R, excluding its Jacobson Radical, as vertices, and connecting two distinct vertices if 1 minus their product is not a unit in R. The F-Index is utilized to capture and represent the structural properties of the ring through its associated graph. A detailed examination of the Jacobson Radical, maximal ideals, and vertex degrees in \mathbb{Z}_{3p} leads to the calculation of the F-Index, providing insights into the graph’s connectivity and underlying algebraic structure. This study contributes to the intersection of algebra and graph theory, offering a foundation for further research into more complex algebraic structures.
On the Forgotten Index and Jacobson Graphs Associated with Integer Rings Modulo n Jauhari, Mohammad Nafie; Jannah, Shahnaz Latifatul; Turmudi, Turmudi; Nisfulaila, Intan
KUBIK Vol 9 No 2 (2024): KUBIK: Jurnal Publikasi Ilmiah Matematika
Publisher : Department of Mathematics, Faculty of Science and Technology, UIN Sunan Gunung Djati Bandung

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.15575/kubik.v9i2.39585

Abstract

This paper investigates the connections between the Jacobson graph and the algebraic properties of rings through the analysis of the Jacobson graph of the ring \mathbb{Z}_{3p}, where p is a prime number greater than 3. The Jacobson graph of a commutative ring R is constructed by taking the elements of R, excluding its Jacobson Radical, as vertices, and connecting two distinct vertices if 1 minus their product is not a unit in R. The F-Index is utilized to capture and represent the structural properties of the ring through its associated graph. A detailed examination of the Jacobson Radical, maximal ideals, and vertex degrees in \mathbb{Z}_{3p} leads to the calculation of the F-Index, providing insights into the graph’s connectivity and underlying algebraic structure. This study contributes to the intersection of algebra and graph theory, offering a foundation for further research into more complex algebraic structures.
Co-Authors - Dewikarina A.A. Ketut Agung Cahyawan W Aam Rusydiana Aam Slamet Rusydiana Aam Slamet Rusydiana Aam Slamet Rusydiana, Aam Slamet Adrianna Syariefur Rakhmat Afifatun Ni’mah Afiqoh, Luluk Al Amiri Octadianto Al Marifatul A'la Al Mustofa, Muhammad Ubaidillah Ali, M. Mahbubi Ali, Mohammad Mahbubi Alin Nuhadilah Alissa Azmul Faoziyyah Annisa Aulia Safitri Annisa Ayusaleha Ari Widodo Arwani Arwani Ascarya Ascarya Aslan, Hakan Atina Shofawati, Atina Ayu Dwi Rukmana Aziza Hanifa Khairunnisa Bani Alkausar, Bani bayram, kamola Bayu Arie Fianto Belgiawan, Prawira Fajarindra Bin Mohd Dali, Nuradli Ridzwan Shah Bunga Aprigati Iskandar Chandra Ari Haryanto Chandra Ari Haryanto, Chandra Ari Choirum Miha Chorista Fitriani Dahayu Bethari Widyandri Desi Novera Danur Desi Sulfa Ningtias Dewi Karina, Dewi Dina Fitrisia Septiarini, Dina Fitrisia Doni Kurniawan Doni Kurniawan Dwi Wulan Ramadani Eka Puspa Dewi Eko Fajar Cahyono, David Kaluge Evania Herindar Fadlilatun Ni'mah Fahamsyah, Mohammad Hatta Ferica, Michelle Filianti, Dian Fitria Nurma Sari Gianissa Pandu Islamy Gigih Prihantono Hadi, T. Saipul Hanifiyah Yuliatul Hijriah, Hanifiyah Yuliatul Herwindo Ghora Nidityo Herwindo Ghora Nidityo, Herwindo Ghora Hikmah Maulidiyah Ibrahim, Mochammad Malik Idzal Dwi Nantyah Imron Mawardi Indah Rahmawati Irham Zaki Islamy, Gianissa Pandu Ivani Ramadhanti Jannah, Shahnaz Latifatul Jayanti, Septia Dwi Kholidah, Himmatul KP Prabheesh Lia Auliah Rachmah M Nasih M. Fikri Himmawan M. Madyan Madyan, Muhammad Martien Rachmawati Martien Rachmawati, Martien Maslihatul Bisriyah Maulida, Syahdatul Mayangsari, Lidia Meidina Ana Ogie Moh. Nasih Mohammad Nafie Jauhari Muhammad Madyan, Muhammad Nadia Amalia Latifah Nia Fajriyatun Nadlifiyah Nikmatul Atiya Noven Suprayogi, Noven Nurul Huda Persada, Satria Fadil Puji Sucia Sukmaningrum Pupun Saepul Rohman Puspita Sari, Ika Putri, Diana Clarisa Alya Raditya Sukmana Ramadhanti, Ivani Rani, Lina Nugraha Reza Ashari Nasution Rolista Dwi Oktavia Rosalia Debby Endrianti Rusmita, Sylva Alif Salsabilla, Salma Nadia Setiyowati, Arin Shabbir, Malik Shahzad Shafana Putri Sambas Shahzad Shabbir, Malik Sherrindra Avedta Siti Nur Ro'ikayah Siti Zulaikah Siti Zulva Rafika Sri Herianingrum Sri Yayu Ninglasari Sudana Sudana Sulistya Rusgianto Tika Widiastuti Turmudi Ulfa, Anis Maria Vega Zahrah Narendra Duhita WAHYU SUKARTININGSIH Wijaya, Ulfia Imelda Windasari, Nila Armelia Yatoo, Nissar Ahmad Yulita Widya Afiqah