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All Journal Pythagoras: Jurnal Matematika dan Pendidikan Matematika JURNAL MATEMATIKA STATISTIKA DAN KOMPUTASI Epsilon: Jurnal Matematika Murni dan Terapan CAUCHY: Jurnal Matematika Murni dan Aplikasi Resital: Jurnal Seni Pertunjukan (Journal of Performing Arts) Journal of Degraded and Mining Lands Management Journal of Natural Sciences and Mathematics Research Al-Jabar : Jurnal Pendidikan Matematika Asia-Pacific Management and Business Application JURNAL ILMIAH MATEMATIKA DAN TERAPAN JMPM: Jurnal Matematika dan Pendidikan Matematika Adi Widya : Jurnal Pengabdian Masyarakat BAREKENG: Jurnal Ilmu Matematika dan Terapan JTAM (Jurnal Teori dan Aplikasi Matematika) Jurnal Teknik Pertanian Lampung (Journal of Agricultural Engineering) Jurnal Labora Medika JURNAL SILOGISME : Kajian Ilmu Matematika dan Pembelajarannya Jambura Journal of Mathematics M A T H L I N E : Jurnal Matematika dan Pendidikan Matematika Jurnal Matematika UNAND Mandalika Mathematics and Educations Journal Jurnal Borneo Akcaya : Jurnal Penelitian dan Pengembangan Pelayanan Publik Euler : Jurnal Ilmiah Matematika, Sains dan Teknologi Leibniz: Jurnal Matematika Journal of Mathematics: Theory and Applications Empowerment Society Muria Jurnal Layanan Masyarakat Journal of Fundamental Mathematics and Applications (JFMA) Asia Pacific Journal of Management and Education Jurnal Matematika Integratif Mathematical Sciences and Applications Journal Indonesian Journal of Applied Mathematics and Statistics
Edi Kurniadi
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Agriculture, Biological Sciences & Forestry Arts Humanities Biochemistry, Genetics & Molecular Biology Chemistry Computer Science & IT Control & Systems Engineering Decision Sciences, Operations Research & Management Economics, Econometrics & Finance Education Electrical & Electronics Engineering Energy Engineering Environmental Science Health Professions Immunology & microbiology Languange, Linguistic, Communication & Media Materials Science & Nanotechnology Mathematics Mechanical Engineering Medicine & Pharmacology Physics Public Health Social Sciences Transportation Other

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HYBRIDIZING HENSEL’S LEMMA, FUNDAMENTAL THEOREM OF ARITHMETIC, AND CHINESE REMAINDER THEOREM FOR SOLVING POLYNOMIAL CONGRUENCES Oktaviansyah, Eka; Kurniadi, Edi; Kusuma, Dianne Amor
BAREKENG: Jurnal Ilmu Matematika dan Terapan Vol 20 No 1 (2026): BAREKENG: Journal of Mathematics and Its Application
Publisher : PATTIMURA UNIVERSITY

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30598/barekengvol20iss1pp0853-0864

Abstract

Polynomial congruence can be solved by applying Hensel’s Lemma. However, Hensel’s Lemma itself does not apply to solving generalized polynomial congruences. The purpose of this research is to determine the recursive formula for the solution of polynomial congruence modulo prime numbers and to construct a general solution algorithm of polynomial congruence modulo arbitrary positive integers. Unlike previous studies, this research proposes the recursive hybrid algorithm combining Hensel’s Lemma, the Fundamental Theorem of Arithmetic, and the Chinese Remainder Theorem, highlighting the originality of the approach in extending its application beyond prime power moduli. The result of this research is the form of a recursive formula for the solution of polynomial congruence modulo prime numbers and the algorithm for solving polynomial congruence modulo arbitrary positive integers using the combination of Hensel’s Lemma, Fundamental Theorem of Arithmetic, and Chinese Remainder Theorem. The results of this research contribute to the development of mathematical methods, especially in the field of number theory. However, the applicability of the recursive formula is limited to cases where the conditions of Hensel’s Lemma are satisfied, that is, when a solution of the polynomial modulo a prime is such that the polynomial equals zero while its derivative does not equal zero modulo the same prime. Extending the method to situations where this condition fails remains a subject for future research.
The Role of Human Resource in Laweyan Batik Industry, Surakarta Kurniadi, Edi; Sarwono, Sarwono; Riani, Asri Laksmi
APMBA (Asia Pacific Management and Business Application) Vol. 7 No. 1 (2018)
Publisher : Department of Management, Faculty of Economics and Business, Brawijaya University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.21776/ub.apmba.2018.007.01.4

Abstract

Indonesia is a country with a socio-economic structure of society that is represented by the existence of the villages. At present, there are many villages in Indonesia that have developed due to the economic efforts made by the village communities. One of these villages is Laweyan village, in Central Java Province. Laweyan village is a well-known batik production in the development of Surakarta municipality. Up to this day, Kampung Batik Laweyan (Laweyan Batik Village) has become a brand image of batik in Surakarta and surrounding areas, even Laweyan's batik products have penetrated the international world. Here, batik business owner and their employees work together to conserve batik products as a result of the declaration of Kampung Laweyan as batik tourism village. The aim of this study is to develop quality and creativity in batik products, as well as product marketing. To achieve it the improvement of human resource quality (business owner and employee) is needed. Training on various managerial skills and other skills will enable them to compete in the business world as well as to provide better services to customers. Using descriptive analysis, the data is collected using several methods: field observation, interview, FGD, and content analysis (document review). The data is analyzed using several techniques, interactive analysis techniques and internal-external analysis techniques. The results of this study show that the craftsman/business owner in Laweyan batik industrial center always try to maintain the survival of their companies, with the knowledge provided to them and managerial and attitude training, they are better prepared to adapt to the recent development and the environment in the sense that they have developed the integration and synergy of human resources based to the structure and function in batik production and marketing aspect.
Application of organic matter-enriched biochar for improving degraded acid sulfate soil properties in rice (Oryza sativa L.) cultivation Masulili, Agusalim; Rahayu, Sri; Suci, Ida Ayu; Kurniadi, Edi
Journal of Degraded and Mining Lands Management Vol. 13 No. 1 (2026)
Publisher : Brawijaya University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.15243/jdmlm.2026.131.9177

Abstract

Acid sulfate soils pose significant challenges for rice cultivation due to  their extreme acidity (pH<4.0) and associated nutrient deficiencies. This study investigated the effectiveness of biochar enriched with various organic amendments in improving soil properties and rice growth in degraded acid sulfate soils. A randomized block design was employed with seven treatments: control (B0), biochar enriched with Chromolaena odorata (B1), rice straw (B2), chicken manure (B3), cattle manure (B4), Tithonia sp. compost (B5), and NPK fertilizer at half the recommended dose (B6), each applied at 10 t/ha. The experiment was conducted under greenhouse conditions using 10 kg of soil per polybag with four replications. Soil samples from Sungai Kakap, West Kalimantan,  exhibited severe constraints, including pH levels of 3.75-3.87, organic carbon content of 0.82-0.98%, and high Al and Fe contents (>3%). Results demonstrated that organic matter-enriched biochar treatments significantly improved soil chemical properties (p<0.01). Rice straw-enriched biochar (B2) achieved the highest available P (117.93 ppm) and K (1.09 cmol(+)/kg), while cattle manure-enriched biochar (B4) showed maximum organic C increase (1.30%). Plant growth parameters showed significant improvement, with B2 producing the tallest plants (137.43 cm) and B5 (Tithonia sp.) yielding the highest productive tillers (38.83). The findings indicate that biochar enriched with local organic materials, particularly rice straw and Tithonia sp., offers a sustainable solution for rehabilitating degraded acid sulfate soils while enhancing rice productivity.
Struktur Aljabar untuk Barisan Kodon dari Asam Deoksiribonukleat (DNA) Hasan, Nabila Nurmala; Kurniadi, Edi; Gusriani, Nurul
Jurnal Matematika Integratif Vol 21, No 2: Oktober 2025
Publisher : Department of Matematics, Universitas Padjadjaran

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24198/jmi.v21.n2.67778.213-228

Abstract

This article discusses the algebraic structure of codon sequences as a representation of DNA nitrogen base sets in mathematical terms. The study aims to prove what algebraic structures are obtained for codon sequences from DNA bases. The methods used include qualitative research methods in the form of literature studies and quantitative research methods in the form of experiments on DNA base sets. In mathematical notation, the nitrogen bases of DNA can be collected in a set and connected into algebraic structures through a bijective mapping on the Galois field of order 4. This results in the set B being viewed as a Galois field of order 4. Additionally, DNA base triplets or codons can be represented in mathematical form. Furthermore, these codons are bijectively mapped onto the Galois field of order 64, so that the resulting algebraic structure is a field. The result of this study show that the codon sequences have an algebraic structure in the form of a one-dimensional vector space over the Galois field on the codon. For further research, the Lie structure in codon can be investigated through the construction of its Lie brackets, where this vector space is a necessary condition for Lie algebras.
ON PROPERTIES OF PROJECTIVE SPACE DETERMINED BY QUOTIENT MAP Kurniadi, Edi; Badrulfalah, Badrulfalah
Journal of Fundamental Mathematics and Applications (JFMA) Vol 8, No 2 (2025)
Publisher : Diponegoro University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.14710/jfma.v0i0.27702

Abstract

The state of a system in quantum theory is not always described by an element of a Hilbert space but by an element of projective space. The research aims to prove that the real projective space consisting of one-dimensional linear subspaces is a smooth manifold which is constructed by a quotient map. It is shown that a projective space is a Hausdorff space, second countable, and -dimensional locally Euclidean. It is also proved that the -dimensional real a projective space is homeomorphic to the quotient topology . The proof involves a quotient map which is defined by a quotient topology.
Lattices Constructions for Euclidean Space Rn and its Subspaces Hayyah, Zahira Najmatul; Kurniadi, Edi; Triska, Anita
Jambura Journal of Mathematics Vol 8, No 1: February 2026
Publisher : Department of Mathematics, Universitas Negeri Gorontalo

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.37905/jjom.v8i1.36272

Abstract

A lattice is a discrete subgroup of n-dimensional Euclidean space that serves as a fundamental object of study in Algebra and the Geometry of Numbers. This structure has significant applications in various fields, particularly in lattice-based cryptography and coding theory. This paper aims to present the formal construction of lattices for $n$-dimensional Euclidean space Rn and its linear subspaces by analyzing the formal definitions and essential properties of lattices. The main results of this research lie in two main results which are presented in several propositions. First, the set Zn of standard integer points is proven to be a lattice in n-dimensional space with respect to the standard basis of V \subseteq Rn. Second, the set of integer points whose last component is zero is proven to be a lattice within (n-1)-dimensional non-trivial subspaces. Indeed, in this case, the obtained lattice is not equal to Zn. Moreover, it also discussed the lattices of a non-standard basis for V. Explicitly, this work contributes a rigorous formal verification that integer structures within subspaces, such as Z{n-1}x0, retain fundamental lattice properties even under non-standard basis constructions.
Co-Authors Agus Suyanto Alamsyah, Alifa Raida Alit Kartiwa, Alit Aminuyati Anita Triska Ari Hepi Yanti Asri Laksmi Riani Asri Laksmi Riani Atmaji, Susan Dwi Cahyaningrum Aurillya Queency Badrulfalah Badrulfalah Betty Subartini Cholil, Mohammad Dellavani, Charitra Yulia Dien Wardihastri Destina Paningrum, Destina Diah Wulandari Rousdy Dwi Soegiarto, Dwi Ema Carnia Estetika Mutiaranisa Kurniawati Faza, Novan Ramadhani Nur Firdaniza Firdaniza Hafizhah, Nur Hasan, Nabila Nurmala Hayyah, Zahira Najmatul Henti, Henti Hermawan, Aldi Hisjam, Muhammad Holyness Nurdin Singadimedja Ida Ayu Suci Indrawati, Urai Suci Yulies Vitri Irawati Irawati Isah Aisah Kankan Parmikanti Khairudin Khairudin Kurniawati, Estetika Mutiaranisa Kusuma, Dianne Amor Maharani, Saskia Putri Masulili, Agusalim Mohammad Cholil Muhammad Arief Budiman Mulyanto Mulyanto Nurul Gusriani, Nurul Oktaviansyah, Eka Pratiwi, Putri Nisa Putra, Ricardo Eka Queency, Aurillya Rahmawati, Rahmawati Rikah, Rikah Rikhsan Kurniatuhadi, Rikhsan Rini Suryani, Rini Rosalina, Shinta Rudianto Rudianto Rudianto, M Rusnandari Retno Cahyani Sarah Rum Handayani Sarwono Sarwono Setiawan, Ade Ripki Sisilia Sylviani Siti Arifah Siti Nurlaela siti nurlela Slamet Supriyadi Slamet Supriyadi Sri Murni SRI RAHAYU Stanley P. Dewanto, Stanley P. Suci, Ida Ayu Sukono Sukono Sumartono, Basuki Susan Dwi Cahyaningrum, Atmaji, Sutikarini Tielung, M. Fariel Fahriza Wahida , Adam