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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

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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.
Sub-exact sequence of rough groups Nevi Setyaningsih; Fitriani Fitriani; Ahmad Faisol
Al-Jabar: Jurnal Pendidikan Matematika Vol 12, No 2 (2021): Al-Jabar: Jurnal Pendidikan Matematika
Publisher : Universitas Islam Raden Intan Lampung, INDONESIA

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (451.018 KB) | DOI: 10.24042/ajpm.v12i2.8917

Abstract

Rough Set Theory (RST) is an essential mathematical tool to deal with imprecise, inconsistent, incomplete information and knowledge Rough Some algebra structures, such as groups, rings, and modules, have been presented on rough set theory. The sub-exact sequence is a generalization of the exact sequence. In this paper, we introduce the notion of a sub-exact sequence of groups. Furthermore, we give some properties of the rough group and rough sub-exact sequence of groups. 
The X[[S]]-Sub-Exact Sequence of Generalized Power Series Rings Wesly Agustinus Pardede; Ahmad Faisol; Fitriani Fitriani
Al-Jabar: Jurnal Pendidikan Matematika Vol 11, No 2 (2020): Al-Jabar: Jurnal Pendidikan Matematika
Publisher : Universitas Islam Raden Intan Lampung, INDONESIA

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (477.388 KB) | DOI: 10.24042/ajpm.v11i2.6760

Abstract

Let  be a ring,  a strictly ordered monoid, and K, L, M are R-modules. Then, we can construct the Generalized Power Series Modules (GPSM) K[[S]], L[[S]], and M[[S]], which are the module over the Generalized Power Series Rings (GPSR) R[[S]]. In this paper, we investigate the property of X[[S]]-sub-exact sequence on GPSM L[[S]] over GPSR R[[S]].  
The Sufficient Conditions for M[[S,w]] to be T[[S,w]]-Noetherian R[[S,w]]-module Ahmad Faisol; Fitriani Fitriani
Al-Jabar: Jurnal Pendidikan Matematika Vol 10, No 2 (2019): Al-Jabar: Jurnal Pendidikan Matematika
Publisher : Universitas Islam Raden Intan Lampung, INDONESIA

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (297.371 KB) | DOI: 10.24042/ajpm.v10i2.5042

Abstract

In this paper, we investigate the sufficient conditions for T[[S,w]] to be a multiplicative subset of skew generalized power series ring R[[S,w]], where R is a ring, T Í R a multiplicative set, (S,≤) a strictly ordered monoid, and w : S®End(R) a monoid homomorphism. Furthermore, we obtain sufficient conditions for skew generalized power series module M[[S,w]] to be a T[[S,w]]-Noetherian R[[S,w]]-module, where M is an R-module.
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.
Analysis of the annual vehicle tax payment service system using Petri net model Jessica Andriani; Fitriani Fitriani; Ahmad Faisol
Desimal: Jurnal Matematika Vol 4, No 3 (2021): Desimal: Jurnal Matematika
Publisher : Universitas Islam Negeri Raden Intan Lampung

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (465.338 KB) | DOI: 10.24042/djm.v4i3.10379

Abstract

Service is the process of meeting needs through the activities of others directly. Service is usually synonymous with queues, and queues are what many people complain about. Most of the taxpayers complained about the queues, indirectly they would blame the poor service because of the queues that had piled up. Queues can be reduced by improving services, while one way to improve services is to analyze services using the Petri Net model. Petri Net is mathematical modeling for discrete event systems. Petri Net can be used to model and analyze algebraic problems of transportation networks, manufacturing systems, telecommunications networks, parallel process systems, and so on. In this study, a Petri Net Model of the annual vehicle tax payment service system was created as many as 16 places, 14 transitions, 2 operators, and 30 arcs using WOPED 3.2.0 software. The length of time for tax payment services for taxpayers who have completed the file is faster with a total time of 27 minutes compared to those who have not completed the file with a total time of 35 minutes. The Petri Net model of the annual type of vehicle tax payment service system can be presented in the form of a backward incidence and forward incidence matrix which is used to see the queuing pattern at Samsat Oku Timur 1 with a mathematical model. Columns in the backward incidence matrix can be used to determine which transitions are enabled.