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All Journal JURNAL MATEMATIKA STATISTIKA DAN KOMPUTASI CAUCHY: Jurnal Matematika Murni dan Aplikasi Journal of the Indonesian Mathematical Society Jurnal Matematika & Sains JMPM: Jurnal Matematika dan Pendidikan Matematika BAREKENG: Jurnal Ilmu Matematika dan Terapan Unisda Journal of Mathematics and Computer Science (UJMC) JTAM (Jurnal Teori dan Aplikasi Matematika) Beta: Jurnal Tadris Matematika EIGEN MATHEMATICS JOURNAL Jurnal Matematika UNAND Jurnal Abdi Insani Contemporary Mathematics and Applications (ConMathA) InPrime: Indonesian Journal Of Pure And Applied Mathematics JPIn : Jurnal Pendidik Indonesia Majalah Ilmiah Matematika dan Statistika (MIMS) Jurnal Ilmiah Abdi Mas TPB Unram Jurnal Diferensial Griya Journal of Mathematics Education and Application Evolusi: Journal of Mathematics and Natural Sciences Prosiding Konferensi Nasional PKM-CSR MATHunesa: Jurnal Ilmiah Matematika Journal of Fundamental Mathematics and Applications (JFMA) NUSANTARA: Jurnal Pengabdian Kepada Masyarakat Jurnal Pepadu Basis : Jurnal Ilmiah Matematika Jurnal Pengabdian Inovasi Masyarakat Indonesia Pemberdayaan Masyarakat: Jurnal Aksi Sosial Sinergi dan Harmoni Masyarakat MIPA E-Jurnal Matematika
I Gede Adhitya Wisnu Wardhana
Department Of Mathematics, Faculty Of Mathematics And Natural Science, University Of Mataram
Religion Agriculture, Biological Sciences & Forestry Humanities Biochemistry, Genetics & Molecular Biology Chemistry Civil Engineering, Building, Construction & Architecture Computer Science & IT Control & Systems Engineering Decision Sciences, Operations Research & Management Economics, Econometrics & Finance Education Energy Engineering Environmental Science Health Professions Languange, Linguistic, Communication & Media Law, Crime, Criminology & Criminal Justice Materials Science & Nanotechnology Mathematics Mechanical Engineering Nursing Physics Public Health Social Sciences Transportation Other

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Pengenalan Algoritma Dengan Menggunakan Permainan Squaring the Square di SMA 1 Batukliang Utara Lombok Tengah Siboro, Ayes Malona; Wahidah, Fathul Maulina; Putra, Lalu Riski Wirendra; Lestari, Sahin Two; Putri, Syaftirridho; Pratama, Rendi Bahtiar; Haryati, Ida; Wardhana, I Gede Adhitya Wisnu
Jurnal Pengabdian Inovasi Masyarakat Indonesia Vol. 3 No. 2 (2024): Edisi Agustus
Publisher : Program Studi Pendidikan Kimia FKIP Universitas Mataram

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.29303/jpimi.v3i2.5326

Abstract

This study aims to evaluate the application of the Squaring Square method in improving the understanding of algorithms, geometry and changes in students' attitudes towards mathematics at SMA Negeri 1 Batukliang Utara, Central Lombok. This method involves practical activities in which students compose several small squares into one large square shape, designed to hone spatial skills and problem-solving abilities. Data analysis from the pre-test and post-test showed that applying this method significantly improved students' understanding of geometry concepts and their attitudes towards mathematics lessons. These findings align with constructivist theory, which emphasises the importance of experiential learning and visualization in improving deep conceptual understanding and offers valuable insights for teaching mathematics in schools.
Implementasi Modul Olimpiade SMP Di SMPN 2 Kuripan Lombok Barat Putra, Lalu Riski Wirendra; Pratama, Rendi Bahtiar; Karang, Gusti Yogananda; Irwansyah, Irwansyah; Wardhana, I Gede Adhitya Wisnu; Romdhini, Mamika Ujianita; Abdurahim, Abdurahim; Maulana, Fariz; Satriyantara, Rio; Awanis, Zata Yumni; Putri, Syaftirridho; Graha, Syifa Salsabila Satya; Wahidah, Fathul Maulina; Pratiwi, Lia Fitta; Pradana, Satriawan; Siboro, Ayes Malona; Farwan, Farwan
Sinergi dan Harmoni Masyarakat MIPA Vol. 1 No. 1 (2024): Oktober
Publisher : Fakultas Matematika dan Ilmu Pengetahuan Alam

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.29303/sinonim.v1i1.5517

Abstract

Kegiatan pengabdian kepada masyarakat ini bertujuan untuk mengimpelementasikan modul pembelajaran olimpiade matematika bagi siswa SMPN 2 Kuripan. Kebutuhan akan modul ini didasarkan pada rendahnya akses siswa terhadap materi-materi persiapan olimpiade yang terstruktur dan sesuai dengan kemampuan serta kebutuhan mereka. Metode yang digunakan dalam pengembangan modul ini meliputi analisis kebutuhan, desain dan pengembangan modul, serta uji coba. Modul ini dirancang untuk mencakup berbagai topik matematika yang sering muncul dalam olimpiade, disertai dengan contoh soal dan pembahasan yang mendalam. Hasil dari kegiatan ini menunjukkan bahwa penggunaan modul olimpiade matematika ini dapat meningkatkan pemahaman siswa terhadap materi olimpiade, serta memotivasi mereka untuk lebih aktif dalam mengikuti kompetisi. Evaluasi melalui uji coba menunjukkan respon positif dari siswa, dengan peningkatan signifikan pada hasil latihan soal.
Pelatihan Pembuatan dan Penggunaan Pupuk Organik Cair dari Urine Sapi untuk Tanaman Hortikultura di Desa Sukadana, Kecamatan Pujut, Kabupaten Lombok Tengah Sudiantoro, Beni Nungroho; Adelia, Adelia; Arisanti, Devia; Ilham, Ilham; Oasis, Arzaki Zaget; Gilman, M. Afdhol; Putia, Munawara; Salsabila, Aenan; Rohani, Ida; Agustina, Anisa; Wardhana, I Gede Adhitya Wisnu
Sinergi dan Harmoni Masyarakat MIPA Vol. 1 No. 2 (2025): April
Publisher : Fakultas Matematika dan Ilmu Pengetahuan Alam

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.29303/sinonim.v1i2.6338

Abstract

The Community Service Program for Village Empowerment (KKN-PMD) at the University of Mataram (UNRAM) was conducted on January 16, 2024, in Sukadana Village, Pujut District, Central Lombok Regency, to empower farmers in utilizing livestock waste as liquid organic fertilizer (POC) from cow urine. This initiative aims to enhance soil fertility, reduce dependence on chemical fertilizers, and promote sustainable agriculture. Additionally, the use of livestock waste for POC production is expected to minimize environmental pollution caused by unmanaged cow urine disposal. Using the Participatory Action Research (PAR) approach, the program engaged farmers in training and hands-on practice to produce POC using cow urine, EM4, and molasses. The results showed that POC improved soil fertility, restored soil structure, and increased agricultural yields by 15–20% while reducing production costs. Beyond economic benefits, this program encourages farmers to adopt environmentally friendly agricultural practices and introduces a more sustainable fertilizer alternative. The improved knowledge and skills in waste management are expected to have a lasting positive impact on sustainable farming in Sukadana Village and serve as a model for other regions with similar agricultural conditions.
Some Results of The Coprime Graph of a Generalized Quaternion Group Q_4n Nurhabibah, Nurhabibah; Syarifudin, Abdul Gazir; Wardhana, I Gede Adhitya Wisnu
InPrime: Indonesian Journal of Pure and Applied Mathematics Vol. 3 No. 1 (2021)
Publisher : Department of Mathematics, Faculty of Sciences and Technology, UIN Syarif Hidayatullah

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.15408/inprime.v3i1.19670

Abstract

AbstractThe Coprime graph is a graph from a finite group that is defined based on the order of each element of the group. In this research, we determine the coprime graph of generalized quaternion group Q_(4n) and its properties. The method used is to study literature and analyze by finding patterns based on some examples. The first result of this research is the form of the coprime graph of a generalized quaternion group Q_(4n) when n = 2^k, n an odd prime number, n an odd composite number, and n an even composite number. The next result is that the total of a cycle contained in the coprime graph of a generalized quaternion group Q_(4n) and cycle multiplicity when  is an odd prime number is p-1.Keywords: Coprime graph, generalized quaternion group, order, path AbstrakGraf koprima merupakan graf dari dari suatu grup hingga yang didefiniskan berdasarkan orde dari masing-masing elemen grup tersebut. Pada penelitian ini akan dibahas tentang bentuk graf koprima dari grup generalized quaternion Q_(4n). Metode yang digunakan dalam penelitian ini adalah studi literatur dan melakukan analisis berdasarkan pola yang ditemukan dalam beberapa contoh. Adapun hasil pertama dari penelitian adalah bentuk graf koprima dari grup generalized quaternion Q_(4n) untuk kasus n = 2^k, n bilangan prima ganjil ganjil, n bilangan komposit ganjil dan n bilangan komposit genap. Hasil selanjutnya adalah total sikel pada graf koprima dari grup generalized quaternion dan multiplisitas sikel ketika  bilangan prima ganjil adalah p-1.Kata kunci: Graf koprima, grup generalized quternion, orde
Some Characteristics of the Prime Graph of Integer Modulo Groups Maulana, Muklas; Wardhana, I Gede Adhitya Wisnu; Switrayni, Ni Wayan; @ Ismail, Ghazali Semil
InPrime: Indonesian Journal of Pure and Applied Mathematics Vol. 5 No. 1 (2023)
Publisher : Department of Mathematics, Faculty of Sciences and Technology, UIN Syarif Hidayatullah

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.15408/inprime.v5i1.29014

Abstract

AbstractThe notion of the prime graph of a ring R was first introduced by Bhavanari, Kuncham, and Dasari in 2010. The prime graph of a ring R, denoted by PG(R) is a graph whose vertices are all elements of the ring, where two distinct vertices x and y are adjacent if and only if xRy = 0 or yRx = 0. In this paper, we study the forms and properties of the prime graph of integer modulo group, and some examples of the number of its spanning trees. In this paper, it is found that for all n, the maximum degree of vertices of PG(Z_n) is n-1 and the minimum degree of its vertices is 1. Then, we show that for all n, PG(Z_n) is neither a Hamiltonian graph nor an Eulerian graph. We also found some examples of the number of its spanning trees.Keywords: prime graph; spanning trees; Hamiltonian graph. AbstrakKonsep mengenai graf prima dari suatu gelanggang R pertama kali diperkenalkan oleh Bhavanari, Kuncham, dan Dasari pada tahun 2010. Graf prima dari suatu gelanggang R, yang dinotasikan dengan PG(R), adalah suatu graf yang simpul-simpulnya merupakan semua elemen dari gelanggang tersebut dengan dua buah simpul x dan y yang berbeda akan bertetangga jika dan hanya jika xRy = 0 atau yRx = 0. Di dalam penelitian ini, dikaji mengenai bentuk-bentuk dan sifat-sifat dari PG(Z_n), dan beberapa contoh dari banyak pohon pembangunnya. Pada penelitian ini, ditemukan hasil bahwa untuk setiap n, derajat maksimal dari simpul-simpul di PG(Z_n) adalah n-1 dan derajat minimum dari simpul-simpulnya adalah 1. Hasil selanjutnya yaitu, untuk setiap n, PG(Z_n) bukan merupakan suatu graf Hamiltonian atau graf Eulerian. Ditemukan juga beberapa contoh dari banyaknya pohon pembangun dari PG(Z_n).Kata Kunci: graf prima; pohon pembangun; graf Hamiltonian. 2020MSC:  05E16, 05C90, 20C05
The Structures of Non-Coprime Graphs for Finite Groups from Dihedral Groups with Regular Composite Orders Aulia, Sita Armi; Wardhana, I Gede Adhitya Wisnu; Irwansyah, Irwansyah; Salwa, Salwa; Misuki, Wahyu Ulyafandhie; Nghiem, Nguyen Dang Hoa
InPrime: Indonesian Journal of Pure and Applied Mathematics Vol. 5 No. 2 (2023)
Publisher : Department of Mathematics, Faculty of Sciences and Technology, UIN Syarif Hidayatullah

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.15408/inprime.v5i2.29018

Abstract

AbstractFor any finite group, the non-coprime graph of the group is a graph with vertices consisting of all non-identity elements of the group. Two different vertices are considered adjacent if their orders are not coprime, meaning their greatest common divisor (gcd) is not equal to one. Misuki provides the structure of the non-coprime graph for the dihedral group when the order is a prime power. We establish a more general property for cases where the order of the group is a regular composite number, discovering that the structure of the non-coprime graph for a dihedral group can be partitioned into some number of complete subgraphs.Keywords: dihedral group; disjoint subgraph; non-coprime graph. AbstrakUntuk sebarang grup hingga, graf non-coprime dari grup tersebut adalah graf dengan simpul yang terdiri dari semua elemen non-identitas dari grup tersebut. Dua simpul yang berbeda dianggap bertetangga jika orde mereka tidak saling prima, artinya pembagi terbesar bersama (gcd) mereka tidak sama dengan satu. Misuki memberikan struktur graf non-coprime untuk grup dihedral ketika ordenya adalah pangkat prima. Pada studi ini didapatkan sifat yang lebih umum ketika orde grup adalah bilangan komposit biasa. Didapatkan juga bahwa struktur graf non-coprime dari grup dihedral dapat dipartisi menjadi beberapa subgraf lengkap.Kata Kunci: graf non-koprima; grup dihedral; subgraph disjoin. 2020MSC: 05C25, 05C69, 20D60.
The Decomposition of a Finitely Generated Module over Some Special Ring Wardhana, I Gede Adhitya Wisnu
JTAM (Jurnal Teori dan Aplikasi Matematika) Vol 6, No 2 (2022): April
Publisher : Universitas Muhammadiyah Mataram

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31764/jtam.v6i2.6769

Abstract

This research aims to give the decompositions of a finitely generated module over some special ring, such as the principal ideal domain and Dedekind domain. One of the main problems with module theory is to analyze the objects of the module. This research was using a literature study on finitely generated modules topics from scientific journals, especially those related to the module theory. And by selective cases we find a pattern to build a conjecture or a hypothesis, by deductive proof, we prove the conjecture and state it as a theorem. The main result in this study is the decomposition of the finitely generated module is a direct sum of the torsion submodule and torsion-free submodule.  Since the torsion-free module is always a free module over a principal ideal domain, then the torsion-free submodule is a free module. Last, we generalize the ring, from a principal ideal domain, to a Dedekind domain. We found then the torsion-free submodule became a projective module.  Then the decomposition of the finitely generated module is a direct sum of the torsion submodule and the projective submodule. These results should help the researchers to analyze the objects on module theory. 
Implementasi Pembelajaran Coding Dan Kriptografi Pada Pesan Digital di SMA Negeri 2 Mataram Maulani Rizqi; Intan Nadilah; Ahmadil Hamdi; Nikken Prima Puspita; I Gede Adhitya Wisnu Wardhana
Pemberdayaan Masyarakat : Jurnal Aksi Sosial Vol. 2 No. 4 (2025): Desember: Pemberdayaan Masyarakat : Jurnal Aksi Sosial
Publisher : Lembaga Pengembangan Kinerja Dosen

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.62383/aksisosial.v2i4.2641

Abstract

This community service activity aims to increase the understanding of students at State Senior High School 2 Mataram regarding information security by introducing the concepts of coding and cryptography in digital messages. The rapid use of messaging applications among teenagers makes students increasingly vulnerable to cyber threats, necessitating education on how data protection works in online communication. This program is implemented using a descriptive method consisting of planning, implementation, and evaluation stages. The material covered includes basic cryptography concepts, end-to-end encryption mechanisms, and the practical process of the Diffie–Hellman key exchange thru the interactive simulation "Alice and Bob." Learning is designed contextually and participatively so that students can connect theory with the digital applications they use every day. The evaluation results showed an improvement in students' understanding, reflected in their active participation, ability to answer questions, and adequate post-test scores. This activity not only strengthens digital security literacy but also raises students' awareness of the importance of protecting personal data in online communication. This program is expected to be the beginning of more sustainable digital security learning development in the school environment.
Nilpotent Graphs of Rings of Integer Modulo: Structural Properties and Topological Indices Deny Putra Malik; Gusti Yogananda Karang; Qurratul Aini; I Gede Adhitya Wisnu Wardhana
Contemporary Mathematics and Applications (ConMathA) Vol. 8 No. 1 (2026)
Publisher : Universitas Airlangga

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.20473/conmatha.v8i1.71177

Abstract

Nilpotent elements in modular rings play a fundamental role in understanding the algebraic structure of rings and their applications in various mathematical domains. Motivated by the need to explore the interplay between algebraic and combinatorial representations, this study introduces and investigates nilpotent graphs constructed from rings of integers modulo prime powers. We begin by characterizing nilpotent sets and establishing theorems that describe their distribution and algebraic behavior. Using these characterizations, we construct nilpotent graphs, where vertices represent nilpotent elements and edges reflect their interactions. The structural properties of these graphs are examined, and several well known topological indices, such as the Zagreb, Harary, Hyper Wiener, Randić, Harmonic, Sombor, and Schultz indices, are computed to quantify connectivity, complexity, and centrality. The results reveal meaningful patterns that bridge ring theory and graph theory.
Estrada Index and Laplacian Estrada Index on the Non-Coprime Graph of the Dihedral Group of Prime PowerOrder Lia Fitta Pratiwi; I Gede Adhitya Wisnu Wardhana; Nur Idayu Alimon
Journal of Fundamental Mathematics and Applications (JFMA) Vol 9, No 1 (2026)
Publisher : Diponegoro University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.14710/jfma.v9i1.26765

Abstract

Graphical representations of algebraic structures have become an important tool in modern mathematics and its applications. Graph theory, particularly spectral graph theory, is widely used across disciplines such as chemistry, physics, computer science, and network analysis to study structural and functional relationships. This study focuses on the non-coprime graph of the dihedral group \( D_{2n} \) with \(n=p^k \), where $p$ is a prime number, and \(k \in \mathbb{Z}^{+}\), analyzing two fundamental spectral parameters: the Estrada index and the Laplacian Estrada index, which are defined based on the eigenvalues of the graph’s adjacency and Laplacian matrices. The main result of this research is the derivation of explicit general formulas for both indices on the non-coprime graph of the dihedral group, contributing to the advancement of algebraic graph theory through spectral analysis.
Co-Authors @ Ismail, Ghazali Semil A.A. Ketut Agung Cahyawan W Abdul Gazir Syarifudin Abdul Gazir Syarifudin Abdurahim, Abdurahim Adelia Adelia Adelia Adelia, Adelia Adem Kilicman Aenan Salsabila Afdhaluzzikri, M. Ahmadil Hamdi Albaracin, Jimboy R. Alfian Putra Ardana Alfian Putra Ardana Alimon, Nur Idayu Ambar, Jinan Angamuthu, Manimaran Anisa Agustina Anisa Agustina, Anisa Arisanti, Devia Arzaki Zaget Oasis Ashadul Umam Asmarani, Evi Yuniartika Aulia, Sita Armi Awanis, Zatta Yumni Ayes Malona Siboro Ayes Malona Siboro Ayes Malona Siboro Baiq Desy Aniska Prayanti Baiq Rika Ayu Febrilia Beni Nungroho Sudiantoro Biswas, Hena Rani Borisman Bertinegara Dara Purnamasari Dara Puspita Anggraeni De Siroj Ragil Ahmad Deny Putra Malik Devia Arisanti Dia Lestari Dina Eka Putri Dwi Noorma Putri Emmy Yuanita Erma Suwastika Evi Yunartika Asmarani Evi Yuniartika Asmarani Evi Yuniartika Asmarani Evi Yuniartika Asmarani Fadhilah, Rifdah Fariz Maulana Fariz Maulana Farwan, Farwan Fathul Maulina Wahidah Febrilia, Baiq Rika Ayu FITRAH RAMADHAN Gayatri, Marena Rahayu Ghazali Semil @ Ismail Ghazali Semil Ismail Ghoffari, Lalu Hasan Gifani Putri Setiandini Gilman, M. Afdhol Graha, Syifa Salsabila Satya Gusti Yogananda Karang Haryati, Ida Hijriati, Naimah Husni, Muhammad Naoval I Nengah Suparta Ida Rohani Ilham Ilham Ilham Ilham Intan Muchtadi Alamsyah Intan Nadilah Irene Rainbow Kewa Somi Irene Salsabila Irwansyah Irwansyah Irwansyah Irwansyah Irwansyah Irwansyah Jurnal Pepadu Karang, Gusti Yogananda Laila Hayati Laila Maya Santi Lailia Awalushaumi Lalu Hasan Ghoffari Lalu Hasan Ghoffari Lalu Muhammad Faiz Zikri Lalu Riski Wirendra Putra Lalu Riski Wirendra Putra Lestari, Sahin Two Lia Fitta Pratiwi Lia Fitta Pratiwi Luluk Kartika Luzianawati Luzianawati M Fauzul M. Afdhol Gilman Malik, Deny Putra MAMIKA UJIANITA ROMDHINI Mamika Ujianita Romdhini Maria Ulfa Marwan Marwan Masriani Masriani Masriani Masriani Maulana, Fariz Maulana, Muklas Maulani Rizqi Maulida Septiyana MAXRIZAL Miftahurrahman, Miftahurrahman Misuki, Wahyu Ulyafandhie Mufarrihati, Ardelia Muhammad Ahsan Hidayat Muhammad Naoval Husni Muhammad Rijal Alfian Muklas Maulana Munawara Putia Nabilah Fikriah Rahin Nanda Lestari Nghiem, Nguyen Dang Hoa Ni Komang Tri Dharmayani Ni Komang Tri Dharmayani Ni Wayan Switrayni Ni Wayan Switrayni Ni Wayan Switrayni Nikken Prima Puspita Ningsih, Baiq Nila Sari Nor Haniza Sarmin Nur Asmita Purnamasari Nur Idayu Alimon Nur Idayu Alimon Nur Nabilah Abdul Razak Nurhabibah Nurhabibah Nurhabibah Nurhabibah Nurhabibah Nurhabibah Nurina Fadlila Shaumi Nuzla Af'idatur Robbaniyyah Oasis, Arzaki Zaget Pradana, Satriawan Pratama, Rendi Bahtiar Pratiwi, Lia Fitta Prof. Dr.I Nengah Suparta,M.Si . PUDJI ASTUTI Purnamasari, Dara Putia, Munawara Putra, Lalu Riski Wirendra Putri Kurnia Chairunnisa Putri, Syaftirridho Putu Kartika Dewi Putu Kartika Dewi Qurratul Aini Qurratul Aini Qurratul Aini Rabbelia Tri Qudrani Ramdani, Dewi Santri Rendi Bahtiar Pratama Resa Putri Fibriyanti Subiyanto Rida Alkausar Hardi Rina Juliana Rina Juliana Rio Satriyantara Rizka Purnama Sari Robbaniyyah, Nuzla Af’idatur Rohani, Ida Sabil, M. Ibnu Sahin Two Lestari Sahin Two Lestari Sahin Two Lestari Salsabila, Aenan Salwa Salwa Salwa Salwa Salwa Salwa Salwa Salwa Salwa Salwa Sarmin, Nor Haniza Satriawan, Didit Semil @ Ismail, Ghazali Siboro, Ayes Malona Siti Raudhatul Kamali Sudiantoro, Beni Nungroho Sudirman Sudirman Surya Hadi Syafitri, Hanna Syaftirridho Putri Syaftirridho Putri Syamsul Bahri Tri Dharmayani, Ni Komang Tri Maryono Rusadi Ubaidillah, Moch Rafi Zarkasy Wahidah, Fathul Maulina Widiastuti, Ratna Sari Yatin, Bela Zainun Yunita Septriana Anwar Zata Yumni Awanis Zata Yumni Awanis Zata Yumni Awaris