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All Journal Tensor: Pure and Applied Mathematics Journal MATHunesa: Jurnal Ilmiah Matematika Pattimura Proceeding : Conference of Science and Technology Sora Journal of Mathematics Education
Novita Dahoklory
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 1 
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

RING GOLDIE PRIMA DAN SUATU ORDER DARI SUATU RING HASIL BAGI Novita Dahoklory
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
KAJIAN DASAR RUANG METRIK P-ADIC Novita Dahoklory; Henry Willyam Michel Patty
MATHunesa: Jurnal Ilmiah Matematika Vol 11 No 03 (2023): Article in Press
Publisher : Universitas Negeri Surabaya

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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.
Co-Authors Henry W. M. Patty