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All Journal MATEMATIKA CAUCHY: Jurnal Matematika Murni dan Aplikasi Al-Jabar : Jurnal Pendidikan Matematika Science and Technology Indonesia Jurnal Matematika: MANTIK Desimal: Jurnal Matematika Limits: Journal of Mathematics and Its Applications J Statistika: Jurnal Ilmiah Teori dan Aplikasi Statistika Jambura Journal of Mathematics Jurnal Matematika UNAND Jurnal Pengabdian Kepada Masyarakat (JPKM) Tabikpun Euler : Jurnal Ilmiah Matematika, Sains dan Teknologi Jurnal Siger Matematika Journal of Fundamental Mathematics and Applications (JFMA) Jurnal Matematika Integratif
Fitriani
Universitas Lampung
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KAITAN ANTARA SUPLEMEN SUATU MODUL DAN EKSISTENSI AMPLOP PROYEKTIF MODUL FAKTORNYA DALAM KATEGORI [M] ., Fitriani
MATEMATIKA Vol 14, No 3 (2011): Jurnal Matematika
Publisher : MATEMATIKA

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (52.428 KB)

Abstract

Let M be an R-module and N Î s[M]. A projective module P with a superfluous epimorphism p : P ® N is called projective cover of N in s[M]. Even if there are enough projective module in s[M], a module need not have a projective cover. To get projective cover, we need supplement which do not always exist. In this paper, we will investigate relation between supplement of a module M and existence projective cover of a factor module of M.
MODUL BERSUPLEMEN UTAMA SEBAGAI GENERALISASI DARI MODUL BERSUPLEMEN ., Fitriani
MATEMATIKA Vol 18, No 1 (2015): Jurnal Matematika
Publisher : MATEMATIKA

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Abstract

An R-module M is called supplemented if every submodule of M has a supplement in M. Principally supplemented modules are defined as generalizations of lifting, principally lifting and supplemented modules. In this paper, we will characterize principally supplemented modules as a generalization of supplemented module respect to duo module and distributive module.
PERSAMAAN UMUM JUMLAH EDGE DAN TITIK PADA CYCLE EXTENSION CUBIC GRAPH Hambali, Mohamad Ibnu; ., Wamiliana; ., Fitriani
MATEMATIKA Vol 17, No 3 (2014): Jurnal Matematika
Publisher : MATEMATIKA

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Abstract

In this research we will discuss about cycle extension  of  cubic graph. The cubic graphs used are the cucic graph with n(V(G)) ≤ 8 and k ≥ 3, ;  k is the length of the cycle C and li is the number of vertices or points on  that located between  and  .  The construction process for determining the  use six operations which are M1, M2, M3, M4, M5, dan M6. The result of M1 process on     is a non Hamiltonian cycle while the results of M2, M3, M4, M5, and M6 are Hamiltonian cycles. We also show that the  number of vertives on the   is  n(V()) = n (V(G)) + 2 k  , and  the number of edges on the   is  n(E() = n (E(G)) + 3 k.
The Ring Homomorphisms of Matrix Rings over Skew Generalized Power Series Rings Faisol, Ahmad; Fitriani, Fitriani
CAUCHY Vol 7, No 1 (2021): CAUCHY: Jurnal Matematika Murni dan Aplikasi
Publisher : Mathematics Department, Maulana Malik Ibrahim State Islamic University of Malang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.18860/ca.v7i1.13001

Abstract

Let  M_n (R_1 [[S_1,≤_1,ω_1]]) and M_n (R_2 [[S_2,≤_2,ω_2]]) be a matrix rings over skew generalized power series rings, where R_1,R_2 are commutative rings with an identity element, (S_1,≤_1 ),(S_2,≤_2 ) are strictly ordered monoids, ω_1:S_1→End(R_1 ),〖 ω〗_2:S_2→End(R_2 ) are monoid homomorphisms. In this research, a mapping  τ from M_n (R_1 [[S_1,≤_1,ω_1]]) to M_n (R_2 [[S_2,≤_2,ω_2]]) is defined by using a strictly ordered monoid homomorphism δ:(S_1,≤_1 )→(S_2,≤_2 ), and ring homomorphisms μ:R_1→R_2 and σ:R_1 [[S_1,≤_1,ω_1]]→R_2 [[S_2,≤_2,ω_2]]. Furthermore, it is proved that τ is a ring homomorphism, and also the sufficient conditions for  τ to be a monomorphism, epimorphism, and isomorphism are given.
Model Petri Net Sistem Pembayaran Pajak Kendaraan Bermotor Jenis 5 Tahun Nurlela Nurlela; Ahmad Faisol; Fitriani Fitriani
Jambura Journal of Mathematics Vol 4, No 1: January 2022
Publisher : Department of Mathematics, Universitas Negeri Gorontalo

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (277.036 KB) | DOI: 10.34312/jjom.v4i1.11158

Abstract

Paying taxes is an example of public service. In the process of serving, the service is often synonymous with the queuing process. Queuing is a condition in which several people or objects from a waiting line to be served are generally caused by the need for services to exceed the service capacity or service facilities so that users of arriving facilities cannot immediately receive service. Therefore, overcoming many complaints due to queues can be done by improving services and maximizing time efficiency using the Petri net model. In this study, a Petri net model of the 5-year tax payment service system for a motor vehicle at SAMSAT Oku Timur 1 was made as many as 17 places, 15 transitions, two operators, and 30 arcs using WOPED 3.2.0 software.
Kategori Modul yang Dibangun oleh Uv Fitriani Fitriani; Ahmad Faisol
Limits: Journal of Mathematics and Its Applications Vol 17, No 1 (2020)
Publisher : Institut Teknologi Sepuluh Nopember

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.12962/limits.v17i1.6030

Abstract

Misalkan U keluarga modul atas R dan V merupakan submodul dari jumlah langsung beberapa elemen di dalam keluarga U. Modul N  atas R  dibangun oleh Uv jika terdapat epimorfisma dari V ke N.  Modul yang dibangun oleh Uv merupakan perumuman dari modul yang dibangun oleh U. Perumuman ini dilakukan dengan menggunakan konsep barisan V-koeksak dari modul. Di dalam paper ini, dikonstruksi kategori  dari modul-modul yang dibangun oleh Uv beserta beberapa sifat-sifatnya. Selain itu, ditunjukkan bahwa kategori modul yang dibangun oleh Uv merupakan kategori pre-aditif.
MATRIKS BERSIH KUAT ATAS RING DERET PANGKAT TERGENERALISASI MIRING Fitriani; AHMAD FAISOL
Jurnal Matematika UNAND Vol 10, No 3 (2021)
Publisher : Jurusan Matematika FMIPA Universitas Andalas Padang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.25077/jmu.10.3.385-393.2021

Abstract

Salah satu konsep dalam teori aljabar yang banyak digunakan adalah matriks atas lapangan (field). Dalam perkembangannya, konsep matriks atas lapangan diperumum menjadi matriks atas ring. Ring merupakan suatu sistem matematika yang terdiri dari suatu himpunan tak kosong yang dilengkapi dua operasi biner yang memenuhi beberapa aksioma. Ring yang banyak digunakan dalam kajian ilmu matematika terapan adalah Ring Polinomial R[X] dan Ring Deret Pangkat R[[X]]. Salah satu sifat matriks atas ring yang telah dikaji oleh para peneliti adalah syarat cukup matriks atas ring R[[X]] merupakan matriks bersih kuat. Pada perkembangannya, struktur R[[X]] digeneralisasi menjadi ring semigrup R[S], Ring Deret Pangkat Tergeneralisasi (RDPT) [[RS,≤]], dan Ring Deret Pangkat Tergeneralisasi Miring (RDPTM) R[[S, ≤, ω]]. Berdasarkan fakta bahwa struktur R[[S, ≤, ω]] lebih umum dari R[[X]], pada penelitian ini diberikan syarat cukup matriks atas RDPTM R[[S, ≤, ω]] merupakan matriks bersih kuat. Hal ini dapat dilakukan dengan cara menambahkan beberapa syarat pada struktur ring R, monoid terurut tegas (S, ≤), dan homomorfisma monoid ω sehingga matriks atas R[[S, ≤, ω]] merupakan matriks bersih kuat. Sebagai akibat langsung, hasil penelitian ini lebih umum dari syarat cukup matriks atas R[[X]] merupakan matriks bersih kuat yang telah dikaji sebelumnya.Kata Kunci: Matriks atas ring, matriks bersih kuat, ring deret pangkat tergeneralisasi miring
The Implementation of Rough Set on A Group Structure Ananto Adi Nugraha; Fitriani Fitriani; Muslim Ansori; Ahmad Faisol
Jurnal Matematika MANTIK Vol. 8 No. 1 (2022): April - June
Publisher : Mathematics Department, Faculty of Science and Technology, UIN Sunan Ampel Surabaya

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.15642/mantik.2022.8.1.45-52

Abstract

Let be a non-empty set and an equivalence relation on . Then, is called an approximation space. The equivalence relation on forms disjoint equivalence classes. If , then we can form a lower approximation and an upper approximation of . If X⊆U, then we can form a lower approximation and an upper approximation of X. In this research, rough group and rough subgroups are constructed in the approximation space for commutative and non-commutative binary operations.
Perbandingan Metode Bootstrap, Jacknife Jiang Dan Area Specific Jacknife Pada Pendugaan Mean Square Error Model Beta-Bernoulli Yesi Santika; Widiarti Widiarti; Fitriani Fitriani; Mustofa Usman
Jurnal Siger Matematika Vol 2, No 1 (2021): Jurnal Siger Matematika
Publisher : FMIPA Universitas Lampung

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (487.04 KB) | DOI: 10.23960/jsm.v2i1.2756

Abstract

Small area estimation is defined as a statistical technique for estimating the parameters of a subpopulation with a small sample size. One method of estimating small area parameters is the Empirical Bayes (EB) method.  The accuracy of the Empirical Bayes (EB) estimator can be measured by evaluating the Mean Squared Error (MSE). In this study, 3 methods to determine MSE in the EB estimator of the Beta-Bernoulli model will be compared, namely the Bootstrap, Jackknife Jiang and Area-specific Jackknife methods.  The study is carried out theoretically and empirically through simulation with R-studio software version 1.2.5033. The simulation results in a number of areas and pairs of prior distribution parameter values, namely Beta, show the effect of sample size and parameter value pairs on the Mean Square Error (MSE) value. The larger the number of areas and the smaller the initial ????, the smaller the MSE value.  The area-specific Jackknife method produces the smallest MSE in the number of areas 100 and the Beta parameter value 0.1.
Kajian Graf Isomorfik Dan Penerapannya Dalam Ilmu Kimia M.G. Arma Yoga Pratama; Notiragayu Notiragayu; Yuli Ambarwati; Fitriani Fitriani
Jurnal Siger Matematika Vol 3, No 1 (2022): Volume 3 No 1
Publisher : FMIPA Universitas Lampung

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (309.761 KB) | DOI: 10.23960/jsm.v3i1.2954

Abstract

Dua graf  dan , jika suatu fungsi  merupakan fungsi satu-satu sedemikian sehingga  adalah sisi dari  jika dan hanya jika  adalah sisi dari , maka  disebut suatu isomorfisma dari  dan . Apabila terdapat suatu isomorfisma antara  dan , maka  dan  disebut dua graf isomorfik. Tujuan dari penelitian ini adalah untuk memperoleh hasil graf yang saling isomorfik dari senyawa alkana dengan rantai  yang dimulai dari  sampai . Isomer merupakan senyawa yang memiliki rumus molekul sama tetapi berbeda strukturnya. Aplikasi perangkat lunak yang digunakan adalah MATLAB R2018a sehingga diperoleh hasil bahwa pada senyawa  tidak terdapat senyawa yang saling isomorfik, sedangkan pada senyawa  dan  terdapat sepasang graf yang saling isomorfik dari  yaitu 3-etil-2-metil Pentana dan 3-isopropil Pentana, kemudian pada senyawa  terdapat dua pasang dari 4 buah graf yaitu 3-etil-2-metil Heksana dengan 3-isopropil Heksana dan 3-etil-2,3-dimetil Pentana dengan 3-isopropil-3-metil Pentana.
Co-Authors . Wamiliana Ahmad Faisol Ahmad Rizki Wiranto Akmal Junaidi Ambarwati, Yuli Ananto Adi Nugraha Andriani, Jessica Attiya Yuliana Azis, Dorrah Desiana Putri Dian Kurniasari Dorrah Azis Fitri Ayuni Indah Emilia Wijayanti Jessica Andriani Larasati Larasati Larasati Larasati Listiana Listiana Lucia Ratnasari M.G. Arma Yoga Pratama Mohamad Ibnu Hambali, Mohamad Ibnu Muslim Ansori Muslim Ansori Mustofa Usman Nevi Setyaningsih Nikken Prima Puspita Notiragayu Notiragayu Notiragayu Notiragayu, Notiragayu Nurlela Nurlela Pardede, Wesly Agustinus Purba, Tresya Carmela Rahma, Aira Rahmawati, Rara Gusti Rudi Ruswandi Rudi Ruswandi Setyaningsih, Nevi SHAKIR ALI Siti Khabibah Siti Laelatul Chasanah Tresya Carmela Purba Waluyo, Ridho Wamiliana ., Wamiliana Wesly Agustinus Pardede Widiarti Widiarti Yesi Santika Yudi Antoni