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All Journal JURNAL MATEMATIKA STATISTIKA DAN KOMPUTASI JURNAL DERIVAT: JURNAL MATEMATIKA DAN PENDIDIKAN MATEMATIKA KALAMATIKA Jurnal Pendidikan Matematika Jurnal Pengabdian Masyarakat MIPA dan Pendidikan MIPA Limits: Journal of Mathematics and Its Applications Madrosatuna: Journal of Islamic Elementary School Jurnal Equation: Teori dan Penelitian Pendidikan Matematika JPMI (Jurnal Pembelajaran Matematika Inovatif) Koordinat : Jurnal Pembelajaran Matematika dan Sains Jurnal Ilmiah Matematika Mathematics and Applications (MAp) Journal Basis : Jurnal Ilmiah Matematika AL JABAR: Jurnal Pendidikan dan Pembelajaran Matematika JSE: Jurnal Sharia Economica SCIENCE MATH Limits: Journal of Mathematics and Its Applications
Tuhfatul Janan
Institut Ahmad Dahlan Probolinggo
Biochemistry, Genetics & Molecular Biology Chemistry Computer Science & IT Economics, Econometrics & Finance Education Mathematics Physics Other

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On 2-Primal Quinary Semiring and its Characterizations by Special Subsets Tuhfatul Janan
Jurnal Matematika, Statistika dan Komputasi Vol. 21 No. 2 (2025): JANUARY 2025
Publisher : Department of Mathematics, Hasanuddin University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.20956/j.v21i2.42165

Abstract

In this research, we introduce a new concept of 2-primal quinary semiring and its characterizations by utilizing special subsets. This concept is a generalization of 2-primal ternary semiring. The method of this research is a literature study on scientific articles in international journals. This research starts from concept of quinary semiring and some its ideals, then continues by studying the basic concept of 2-primal quinary semiring, including weakly and strongly nilpotent sets. Next, we define some special subsets of quinary semiring, and then provide some of their properties. Through this special subsets, we provide characterizations of 2-primal quinary semiring.
GENERATOR POLYNOMIAL OF IDEAL IN POLYNOMIAL RING AND ITS RELEVANCE TO CYCLIC CODE Tuhfatul Janan; Syifaul Janan; Sri Wigantono
SCIENCE MATH: Jurnal Ilmu Sains dan Matematika Vol. 1 No. 2 (2025): May
Publisher : PT Innovative Academic Journals

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.1234/65pgb009

Abstract

Cyclic codes were discovered by Prange in 1957. They have served as the foundation for the development of modern coding theory, such as Hamming codes, Golay codes, Reed-Solomon codes, and others. Cyclic codes are closely related to generator polynomials of a polynomial ring. This research uses a literature review method using relevant international articles and books. The research will revisit several aspects of Ling and Xing's work on generator polynomial of ideal in polynomial ring and its relevance to cyclic code. Furthermore, detailed explanations will be provided along with several examples.
SEMIGELANGGANG TERNER: KONSEP DAN CONTOH MENGGUNAKAN HIMPUNAN MATRIKS Tuhfatul Janan
SCIENCE MATH: Jurnal Ilmu Sains dan Matematika Vol. 1 No. 1 (2025): February
Publisher : PT Innovative Academic Journals

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.1234/hh23wa96

Abstract

Ternary semiring was first introduced by Dutta dan Kar in 2003. Ternary semiring is a generalization of ternary ring. Ternary semiring is an algebraic structure consisting of a nonempty set together with a binary operation, called addition and a ternary multiplication, which forms a commutative monoid relative to binary addition, monoid relative to ternary multiplication, and the left, lateral, and right distributive laws hold. In this research, we use method of literature study on article which have published in international journal. In this research, we study more several parts of research from Dutta and Mandal about 2-primal ternary semirings, but will focus only on ternary semiring, including some ideals, prime radical, nilpotent element, super nilpotent ternary semiring, and 2-primal ternary semiring. Next, a more detailed discussion will be provided and accompanied by several examples using sets of matrices.
ANALISIS KESTABILAN MODEL PENYEBARAN FLU BURUNG TERHADAP POPULASI UNGGAS Syifaul Janan; Tuhfatul Janan; Fani Firmansyah; Didi Harlianto; Nicky Yongkimandalan
SCIENCE MATH: Jurnal Ilmu Sains dan Matematika Vol. 1 No. 2 (2025): May
Publisher : PT Innovative Academic Journals

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.1234/1ccn7t70

Abstract

This research aims to analyze Avian Influenza spread model around the equilibrium point. The population discussed is the poultry population which consists of two sub-populations, namely susceptible and infective. The method used is literature study through reference books and scientific articles related to the models. Then, the mathematical model, equilibrium point, and model stability were calculated. The results of calculations were made into a simulation model using Matlab and Maple software. It was found that there was an Avian Influenza virus spread to the poultry population which was influenced by several factors, namely birth, natural death, death due to infection, and migration (movement).
Characterizations of 2-Primal Ternary Semiring using Special Subsets of Ternary Semiring Tuhfatul Janan; Irawati
Limits: Journal of Mathematics and Its Applications Vol. 20 No. 1 (2023): Limits: Journal of Mathematics and Its Applications Volume 20 Nomor 1 Edisi Ma
Publisher : Pusat Publikasi Ilmiah LPPM Institut Teknologi Sepuluh Nopember

Show Abstract | Download Original | Original Source | Check in Google Scholar

Abstract

This research aims to determine the characterizations of 2-primal ternary semiring using special subsets of ternary semiring. We use literature review method to achieve these aims. We define O^' (P) and O_P^', the special subsets of ternary semiring then we determine some properties of them. We also determine the condition for O(P) and O_P in order to the special subsets are ideals of S. The last, the special subsets of ternary semiring will be used to determine the characterizations of 2-primal ternary semiring. As the results, some the characterizations were S must be a commutative super nilpotent ternary semiring and O(P)=(O(P) ) or each prime ideal P of S. Besides that, O(P)=O_P=N(P) and O_P^' must has the IFP for each prime ideal P of S.
Co-Authors Abdur Rofiq Abdur Rofiq Abdur Rofiq Agniz Ruri Ambarwati Atmadi Ayuni Ayuni Bachtiar Aziz Affandy Didi Harlianto Dimas Raditya Sahputra Fani Firmansyah Hardina Sandariria Irawati Irawati Irawati Moh. Nurul Huda muhammad alfi syahrin Mustakim Mustakim Mutmainnah Mutmainnah Nicky Yongkimandalan Nur Hasanah Nur Khosiah Nurhidayati Nuryami Pratiwi Dwi Warih Sitaresmi Qonita Qurrota A'yun Ratna Damayanti Reza Hilmy Luayyin Sihafudin Sihafudin Siti Nurazizah Sri Wigantono Syifaul Janan Zeinul Arifin