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All Journal BAREKENG: Jurnal Ilmu Matematika dan Terapan Majalah Ilmiah Matematika dan Statistika (MIMS) Tensor: Pure and Applied Mathematics Journal MATHunesa: Jurnal Ilmiah Matematika Pattimura Proceeding : Conference of Science and Technology Sora Journal of Mathematics Education Parameter: Jurnal Matematika, Statistika dan Terapannya PENGAMATAN: Jurnal Pengabdian Masyarakat untuk Ilmu MIPA dan Terapannya
Novita Dahoklory
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Extension Field Which Are Galois Extensions Novita Dahoklory; Henry Willyam Michel Patty
Tensor: Pure and Applied Mathematics Journal Vol 3 No 2 (2022): Tensor: Pure and Applied Mathematics Journal
Publisher : Department of Mathematics, Faculty of Mathematics and Natural Sciences, Pattimura University, Ambon, Indonesia

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30598/tensorvol3iss2pp85-92

Abstract

Galois Group Correspondence On Extension Fields Over Q Novita Dahoklory; Henry W. M. Patty
Pattimura Proceeding 2023: Prosiding KNM XXI
Publisher : Pattimura University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30598/PattimuraSci.2023.KNMXXI.17-28

Abstract

Let be an extension field where denotes dimension of as a vector space over . Let be the group of all automorphism of that fixes where the order of is denoted by . Particularly, an extension field is called a Galois extension if . Moreover, we will give some properties of an extension field which is a Galois extension. Using the properties of Galois extension, we will show that there is an one-one correspondence between the set of all intermediate fields in and the set of all subgroups in . Furthermore, we will give some examples of Galois group correspondence using an extension field over .
Basic Properties of Galois Correspondence Novita Dahoklory; Henry Willyam Michel Patty
Tensor: Pure and Applied Mathematics Journal Vol 4 No 1 (2023): Tensor: Pure and Applied Mathematics Journal
Publisher : Department of Mathematics, Faculty of Mathematics and Natural Sciences, Pattimura University, Ambon, Indonesia

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30598/tensorvol4iss1pp1-12

Abstract

Hubungan antara latis distributif dan aljabar median Dahoklory, Novita; Patty, Henry Willyam Michel
Majalah Ilmiah Matematika dan Statistika Vol. 24 No. 2 (2024): Majalah Ilmiah Matematika dan Statistika
Publisher : Jurusan Matematika FMIPA Universitas Jember

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.19184/mims.v24i2.45887

Abstract

Let M be a non-empty set equipped by a ternary operation m:M×M×M→M. The set M is called a median algebra if (M,m) satisfies these properties (1) majority: m(a,a,b)=a, associativity: m(a,b,m(c,b,d) = m(m(a,b,c),b,d), and commutativity: m(a,b,c) = m(a,c,b) = m(b,a,c) for every a,b,c,d∈M. In this paper, we will relate a median algebra and a distributive lattice; every distributive lattice is a median algebra. Moreover, we will study an interval [a,b] in a median algebra (M,m) motivated by closed intervals in R. We will also investigate the basic properties of the interval [a,b] in a median algebra. Furthermore, using these properties, we will show that every interval in a median algebra is conversely a distributive lattice. Keywords: median algebra, distributive lattices, interval.MSC2020: 06D99.
RING GOLDIE PRIMA DAN SUATU ORDER DARI SUATU RING HASIL BAGI Dahoklory, Novita
Sora Journal of Mathematics Education Vol 2 No 1 (2021): Sora Journal of Mathematics Education
Publisher : Program Studi Pendidikan Matematika (Kampus Kab. Maluku Barat Daya) Universitas Pattimura

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (467.815 KB) | DOI: 10.30598/sora.2.1.15-27

Abstract

Diberikan suatu ring hasil bagi Q. Suatu subring R dalam ring hasil bagi Q disebut sebagai order jika Q merupakan ring hasil bagi dari R oleh himpunan semua elemen reguler di dalam R. Di lain pihak, suatu ring R disebut ring Goldie prima apabila R merupakan ring Goldie kanan dan ring Goldie prima serta ring prima. Dalam penelitian ini akan diberikan beberapa sifat yang berlaku dalam ring Goldie prima. Selanjutnya, dengan menggunakan sifat tersebut, akan diberikan hubungan antara ring Goldie prima dan order dalam suatu ring hasil bagi. Hasil penelitian ini menunjukkan bahwa jika R merupakan ring Goldie prima maka R merupakan order dalam suatu ring Artin sederhana
Algebra Hyperstructure Concept and Its Application on Oxidation Reduction: Actinium (Ac) and Berkelium (Bk) Huwae, Elsa; Patty, Henry Willyam Michel; Rahakbauw, Dorteus L; Dahoklory, Novita
Tensor: Pure and Applied Mathematics Journal Vol 5 No 1 (2024): Tensor: Pure and Applied Mathematics Journal
Publisher : Department of Mathematics, Faculty of Mathematics and Natural Sciences, Pattimura University, Ambon, Indonesia

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30598/tensorvol5iss1pp33-48

Abstract

The concept of algebraic hyperstructure is a generalization of the concept of algebraic structure. The algebraic hyperstructure concepts discussed in this research include hypergroups, semihypergroups, and -group and it is known that this concept has application in the field of science, one of which in the field of chemistry, namely redox reactions. The aim of this research is to discuss the concept of algebraic hyperstructures and its application in redox reactions of the elements actinium and berkelium . In this research, the redox reactions of the elements actinium and berkelium were obtained and the results of the redox reactions of these two elements formed a semihypergroups and -semigroups.
Topology Properties of p-Adic Metric Space Dahoklory, Novita; Patty, Henry Willyam Michel
Tensor: Pure and Applied Mathematics Journal Vol 5 No 1 (2024): Tensor: Pure and Applied Mathematics Journal
Publisher : Department of Mathematics, Faculty of Mathematics and Natural Sciences, Pattimura University, Ambon, Indonesia

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30598/tensorvol5iss1pp1-8

Abstract

Diberikan ruang metrik p-adic (Q,dp) dengan metrik p-adic merupakan metrik yang diinduksi menggunakan nilai mutlak p-adic pada himpunan Q. Dalam penelitian ini, akan ditunjukkan bahwa (Q,dp) merupakan ruang metrik non-Archimedean. Lebih lanjut, akan diselidiki sifat topologi diantaranya sifat bola terbuka dan bola terututup yang berlaku pada ruang metrik p-adic (Q,dp).
KARAKTERISASI DAERAH DEDEKIND Persulessy, Elvinus R.; Dahoklory, Novita
BAREKENG: Jurnal Ilmu Matematika dan Terapan Vol 9 No 1 (2015): BAREKENG : Jurnal Ilmu Matematika dan Terapan
Publisher : PATTIMURA UNIVERSITY

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (426.136 KB) | DOI: 10.30598/barekengvol9iss1pp1-10

Abstract

Suatu daerah integral 𝑅 dengan lapangan hasil bagi 𝑄(𝑅), 𝑅 dikatakan sebagai Daerah Dedekind jika dan hanya jika 𝑅 adalah ring Noetherian, tertutup secara integral di 𝑄(𝑅) dan setiap ideal prima yang bukan nol adalah ideal maksimal. Penelitian ini akan dibahas karakteristik Daerah Dedekind dan hubungan antara Daerah Dedekind dan Daerah Ideal Utama dengan tahapan sebagai berikut: mengidentifikasi 𝑅 yang tertutup secara integral dan ideal fraksional dari 𝑅, Selanjutnya diberikan karakteristik Daerah Dedekind serta kaitan antara Daerah Dedekind dan Daerah Ideal Utama. Hasil penelitian menunjukkan bahwa jika setiap ideal fraksional di 𝑅 memiliki invers maka 𝑅 daerah Dedekind dan setiap Daerah Ideal Utama memenuhi Daerah Dedekind.
Implementation of the Advanced Encryption Standard (AES) Algorithm to Protect Children Personal Data Patty, Dyana; Kololu, Selvy Marchia; Dahoklory, Novita; Leleury, Zeth Arthur
Parameter: Jurnal Matematika, Statistika dan Terapannya Vol 4 No 2 (2025): Parameter: Jurnal Matematika, Statistika dan Terapannya
Publisher : Jurusan Matematika FMIPA Universitas Pattimura

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30598/parameterv4i2pp261-274

Abstract

The rapid development of information and communication technology is inseparable from data security issues. In today's digital age, one type of data that is vulnerable to cyber security threats is children's personal data. Protecting children's personal data is an important priority in safeguarding their privacy and digital security. This research applies AES-256 on a website to secure personal data within the database. AES-256 is a symmetric cryptographic and block-ciphertext algorithm that can encrypt and decrypt data/information with a key size of 256 bits, which can be used to secure data. Results demonstrate that AES-256 effectively maintains full name, NIK and password confidentiality and integrity, rendering the encrypted ciphertext difficult to interpret or access. This study provides a basis for advancing data security and related applications which strengthens the complexity of encrypted children's personal data against cryptanalysis attacks.
Fungsi Trace dan Fungsi Norm Lapangan Perluasan Atas Q Dahoklory, Novita; Patty, Henry Willyam Michel
Tensor: Pure and Applied Mathematics Journal Vol 6 No 1 (2025): Tensor: Pure and Applied Mathematics Journal
Publisher : Department of Mathematics, Faculty of Mathematics and Natural Sciences, Pattimura University, Ambon, Indonesia

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30598/tensorvol6iss1pp39-48

Abstract

Suppose L/K is an extension field where K⊆L so that L can be viewed as a vector space over K. Moreover, it is known that for every α∈L, we can construct a linear transformation T_α: L→L where T_α (x)=αx for all x∈L so that we have the representation matrix [T_α] of T_α. In this study, the trace and norm functions are discussed which are defined using the trace and determinant of the matrix [T_α]. Furthermore, this study will also discuss the application of the trace and norm functions in the field of an extension field especially Q(∛2) over Q.
Co-Authors Batkunde, Harmanus H. W. M. Patty Huwae, Elsa Kambu, Loisa Genesis Kololu, Selvy Marchia Lusye Bakarbessy Meilin Imelda Tilukay Patty, Dyana Patty, Henry Willyam Michel Persulessy, Elvinus R. Rahakbauw, Dorteus L Rumlawang, Francis Y. Zeth Arthur Leleury, Zeth Arthur