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Basic Website Creation Training for Muhammadiyah Mamala High School Students in Central Maluku Regency Citra Fathia Palembang; Mozart Winston Talakua; Zeth Arthur Leleury; Yopi Andry Lesnussa; Francis Yunito Rumlawang; Jefri Esna Thomas Radjabaycolle; Abraham Zakharia Wattimena; Henry Willyam M. Patty
MOVE: Journal of Community Service and Engagement Vol. 1 No. 3 (2022): January 2022
Publisher : EQUATOR SINAR AKADEMIA

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (108.759 KB) | DOI: 10.54408/move.v1i3.32

Abstract

The team's implementation of community service activities provides materials and training to Muhammadiyah Mamala High School students on how to easily build a website from the ground up using a content management system (CMS) until the website is successfully uploaded to the Internet (hosting), both for free and for a fee. The goal of this community service activity is for students to gain information technology knowledge that is not limited to being able to access information, but also to being able to create a container/information medium in the form of a website and, hopefully, to help the school in developing the school website in the future
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.
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).
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.
Kajian Basis dan Dimensi pada Ruang Hipervektor Atas Lapangan Kambu, Loisa Genesis; Patty, Henry Willyam Michel; Bakarbessy, Lusye; Dahoklory, Novita
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/tensorvol6iss1pp23-38

Abstract

The concept of algebraic hyperstructure is a generalisation of the concept of algebraic structure. The concept of algebraic hyperstructure discussed in this study is hypervector space. The purpose of this paper is to study the basis and dimension of the hypervector space. In hypervector space there is a strong left distributive property, namely (a+b)∘x=a∘x+b∘x, ∀a,b∈K,∀x∈V. In addition, in a hypervector space that has the K-invertible property, the importance of the strong left distribution property and the invertible property in this hypervector space ensures that each linearly independent set has no more than n elements, where n is the dimension of the hypervector space. Furthermore, the addition of vectors from outside the base will result or not linearly independent. Translated with DeepL.com (free version)
KAJIAN DASAR RUANG METRIK P-ADIC Dahoklory, Novita; Patty, Henry Willyam Michel
MATHunesa: Jurnal Ilmiah Matematika Vol. 11 No. 3 (2023)
Publisher : Universitas Negeri Surabaya

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.26740/mathunesa.v11n3.p517-523

Abstract

Diberikan himpunan semua bilangan rasional Q. Pada penelitian ini akan dijelaskan metrik p-adic untuk suatu bilangan prima p yang dikonstruksikan menggunakan nilai mutlak p-adic pada himpunan Q. Dalam penelitian ini juga akan ditunjukkan bahwa (Q,dp) merupakan ruang metrik khusus yaitu ruang metrik non-Archimedean. Selanjutnya, akan diberikan beberapa sifat (Q,dp) dengan menggunakan beberapa barisan khusus dalam Q. Lebih lanjut, dengan menggunakan sifat-sifat barisan tersebut, akan ditunjukkan bahwa (Q,dp) bukan merupakan ruang metrik lengkap.