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KAJIAN DASAR STRUKTUR GRUP GALOIS sapulete, chrissandy; W. M. Patty, Henry; Y. Rumlawang, Francis; Patty, Dyana
Parameter: Jurnal Matematika, Statistika dan Terapannya Vol 2 No 1 (2023): 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/parameterv2i01pp139-144

Abstract

Terdapat lapangan polinomial satu variabel dan dimana lapangan dimuat oleh lapangan yang disimbolkan itu berarti operasi-operasi dalam sama dengan operasi-operasi dalam selanjutnya disebut merupakan lapangan perluasan dari . Dilain sisi, terdapat polinomial berderajat bulat positif di dalam dan terfaktor dalam serta akar – akar berada dalam . Lapangan merupakan lapangan bagian dari sehingga disebut lapangan pemisah. Pada perluasan lapangan dari terdapat automorfisma dari yang memetakan dengan elemen dari sehingga dari yang memenuhi sehingga himpunan automorfisma dari membentuk suatu grup yang disebut grup galois dari atas dengan notasi . Dalam tulisan ini diperoleh himpunan automorfisma dari dengan operasi komposisi fungsi merupakan grup galois karena setiap automorfisma pada mengkontruksi akar – akar dari pada . Hal ini berarti merupakan polinomial tak tereduksi sehingga akar – akar dari tidak berada pada lapangan tetapi pada perluasan lapangan yaitu lapangan sehingga terdapat automorfisma pada yang mengkontruksi akar – akar dari pada .
THE SUFFICIENT CONDITIONS FOR A MULTIPLICATIVE DERIVATION IN THE JORDAN RING TO BE ADDITIVE Adrianus, Karen Isye; Batkunde, Harmanus; Patty, Dyana
Parameter: Jurnal Matematika, Statistika dan Terapannya Vol 4 No 1 (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/parameterv4i1pp95-110

Abstract

Derivation is a mapping from a set to itself. There are two types of derivations in rings: ordinary derivation and Jordan derivation. Given a triangular matrix ring T, a non-associative ring can be formed, known as a Jordan ring T. Subsequently, on the Jordan ring T, a derivation can be defined, referred to as derivation in the Jordan ring T. This paper provides the conditions that must be met for a multiplication derivation on the Jordan ring T to be additive. Furthermore, the ring T must be 2-torsion-free so that the derivation on the Jordan ring becomes a Jordan derivation on the ring T.
PEMODELAN PENULARAN PENYAKIT HEPATITIS MENGGUNAKAN MODEL SEIR Patty, Dyana; Bormasa, Elisabet; Rahakbauw, D L
Amalgamasi: Journal of Mathematics and Applications Vol. 1 No. 2 (2022): Amalgamasi: Journal of Mathematics and Applications
Publisher : Universitas Pasifik Morotai

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.55098/amalgamasi.v1.i2.pp54-63

Abstract

Penyakit hepatitis merupakan suatu proses peradangan pada jaringan hati dan tergolong penyakit menular. Penelitian ini bertujuan memodelkan penyakit hepatitis menggunakan model SEIR. Metode penelitian yang digunakan adalah metode studi pustaka dan simulasi. Data yang digunakan adalah data penderita penyakit hepatitis pada RSUD Dr. M. Haulussy Ambon tahun 2019. Pemodelan matematika model SEIR menggambarkan pola penyebaran penyakit dari kelompok individu susceptible atau subpopulasi yang berpotensi terinfeksi penyakit menjadi exposed atau subpopulasi yang memperlihatkan gejala ditulari penyakit melalui kontak langsung dengan individu infected atau subpopulasi yang telah terinfeksi penyakit. Individu infected yang dapat bertahan terhadap penyakit akan sembuh dan memasuki kelompok recovered atau subpopulasi yang telah sembuh. Selanjutnya dari model yang dibangun dan simulasi MATLAB diperoleh dua titik kesetimbangan yaitu titik kesetimbangan endemik dan titik kesetimbangan bebas penyakit . Dari penelitian ini, dapat dikembangkan model matematika untuk masalah lainnya.
ANALISIS KETERLIBATAN PENULIS BERDASARKAN JENIS KELAMIN DALAM PUBLIKASI JURNAL BAREKENG Maloky, Jessica Kezia; Rumaropen, Teodora Jessical; Bakarbessy, Lusye; Patty, Dyana; Lesnussa, Yopi Andry
PAKEM: Jurnal Pengabdian Kepada Masyarakat Vol 6 No 1 (2026): Pakem : Jurnal Pengabdian Kepada Masyarakat
Publisher : Universitas Pattimura

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30598/pakem.6.1.47-56

Abstract

Professional scientific journal management requires transparent, inclusive, and data-driven governance practices, including in terms of author involvement based on gender. This article aims to analyze the involvement of male and female authors in Berekeng journal publications as part of the reflection and contribution of the scientific journal management profession. The method used is quantitative descriptive analysis that analyzes the dynamics of gender participation in scientific publications during the 2007–2025 period. The results of the study show that the 2007–2018 period was significantly dominated by male authors (peaking at 84.44% in 2018). However, there was a rapid transition towards balance in 2019–2021, where female participation began to prevail (54.63% in 2021). This pattern continued in the 2023–2025 period, showing a new significant dominance by female authors (peaking at 56.45% in 2024). Overall, the total number of female authors (50.81%) slightly exceeded that of male authors (49.19%). This dramatic shift implies a fundamental change in the academic community. Specifically in the context of Mathematics, this trend is predicted to encourage diversification of research topics into Applied Mathematics and Data Science, strengthen interdisciplinary collaboration, and create a more inclusive research environment. This study concludes that gender equality efforts have fundamentally changing the landscape of publishing. These activities are expected to strengthen the capacity of journal managers in implementing data-driven management while promoting fair and sustainable scientific publishing practices as a tangible manifestation of professional dedication in the field of scientific journal management.
ANALISIS TREN KERAGAMAN PENULIS DOMESTIK DAN INTERNASIONAL PADA PUBLIKASI JURNAL BAREKENG Rahangmetan, Keizya; Pokar, Esteria; Lewaherilla, Norisca; Patty, Dyana; Lesnussa, Yopi Andry
PAKEM: Jurnal Pengabdian Kepada Masyarakat Vol 6 No 1 (2026): Pakem : Jurnal Pengabdian Kepada Masyarakat
Publisher : Universitas Pattimura

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30598/pakem.6.1.70-80

Abstract

This study was conducted as part of the Internship Program (PKL) of the Statistics Study Program, carried out in the administrative editorial management division of the BAREKENG Journal. The activities included collecting and processing publication data to support the evaluation of editorial performance and the mapping of the journal’s internationalization process. This research aims to analyze trends in the diversity of domestic and international authors in BAREKENG Journal publications during the 2007–2025 period. The data were obtained from the journal’s publication archives and processed through several stages, including author affiliation classification, grouping by publication period, and analyzing the development of domestic and international author proportions. The analysis was conducted using descriptive quantitative methods and presented in the form of trend graphs. The results show that the number of domestic authors increased significantly after 2020, reaching 864 authors in 2025. Contributions from international authors first appeared in 2021 and continued to grow, with the highest number recorded at 61 authors in 2025. These findings indicate that the BAREKENG Journal is not only growing at the national level but is also beginning to attract attention from the international academic community. This study is expected to provide an overview of the dynamics of author contributions and the journal’s position in the internationalization process, as well as serve as a basis for strengthening future journal management strategies.