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Journal : BAREKENG: Jurnal Ilmu Matematika dan Terapan

MATRIKS ATAS RING DERET PANGKAT TERGENERALISASI MIRING Siti Rugayah; Ahmad Faisol; Fitriani Fitriani
BAREKENG: Jurnal Ilmu Matematika dan Terapan Vol 15 No 1 (2021): BAREKENG: Jurnal Ilmu Matematika dan Terapan
Publisher : PATTIMURA UNIVERSITY

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (399.685 KB) | DOI: 10.30598/barekengvol15iss1pp157-166

Abstract

Let R be a ring with unit elements, strictly ordered monoids, and a monoid homomorphism. Formed , which is a set of all functions from S to R with are Artin and narrow. With the operation of the sum of functions and convolution multiplication, is a ring, from now on referred to as the Skew Generalized Power Series Ring (SGPSR). In this paper, the set of all matrices over SGPSR will be constructed. Furthermore, it will be shown that this set is a ring with the addition and multiplication matrix operations. Moreover, we will construct the ideal of ring matrix over SGPSR and investigate this ideal's properties.
PETRI NET MODEL IN THE PROCESS OF SUBMISSION FOR CUSTOMER CREDIT OF BPR LAMBANG GANDA SERANG Megawati Octavia; Fitriani Fitriani; Ahmad Faisol
BAREKENG: Jurnal Ilmu Matematika dan Terapan Vol 15 No 3 (2021): BAREKENG: Jurnal Ilmu Matematika dan Terapan
Publisher : PATTIMURA UNIVERSITY

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (560.219 KB) | DOI: 10.30598/barekengvol15iss3pp565-574

Abstract

The credit application process is one of a service that involves queues. This study aims to determine the design of the credit process application service system at the Lambang Ganda Serang Credit Bank using the Petri Net model. This study has 12 places, eight transitions, six operators, and 22 arcs of Petri Net model from credit application service system using Woped 3.2.0 version software
THE PROPERTIES OF ROUGH V-COEXACT SEQUENCE IN ROUGH GROUP Desfan Hafifullah; Fitriani Fitriani; Ahmad Faisol
BAREKENG: Jurnal Ilmu Matematika dan Terapan Vol 16 No 3 (2022): BAREKENG: Journal of Mathematics and Its Applications
Publisher : PATTIMURA UNIVERSITY

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (465.492 KB) | DOI: 10.30598/barekengvol16iss3pp1069-1078

Abstract

In ring and module theory, the concept of an exact sequence is commonly employed. The exact sequence is generalized into the U-exact sequence and the V-coexact sequence. Rough set theory has also been applied to a variety of algebraic structures, including groups, rings, modules, and others. In this study, we investigated characteristics of a rough V-coexact sequence in rough groups
THE IMPLEMENTATION OF A ROUGH SET OF PROJECTIVE MODULE Gusti Ayu Dwiyanti; Fitriani Fitriani; Ahmad Faisol
BAREKENG: Jurnal Ilmu Matematika dan Terapan Vol 17 No 2 (2023): BAREKENG: Journal of Mathematics and Its Applications
Publisher : PATTIMURA UNIVERSITY

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30598/barekengvol17iss2pp0735-0744

Abstract

In ring and module theory, one concept is the projective module. A module is said to be projective if it is a direct sum of independent modules. (U, R) is an approximation space with non-empty set and equivalence relation If X subset U, we can form upper approximation and lower approximation. X is rough set if upper Apr(X) is not equal to under Apr(X). The rough set theory applies to algebraic structures, including groups, rings, modules, and module homomorphisms. In this study, we will investigate the properties of the rough projective module.
DERIVATION ON SEVERAL RINGS Abdiel Bellamy Thomas; Nikken Prima Puspita; Fitriani Fitriani
BAREKENG: Jurnal Ilmu Matematika dan Terapan Vol 18 No 3 (2024): BAREKENG: Journal of Mathematics and Its Application
Publisher : PATTIMURA UNIVERSITY

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30598/barekengvol18iss3pp1729-1738

Abstract

Research on ring derivation is one of the studies that is quite popular among algebra lovers. The definition of the derivation on the ring is motivated by the derivation in calculus which has Leibniz's rule. The purpose of this paper is to show some of the derivation properties on several rings, namely divisor rings, cartesian product rings, and factor rings. Let be a commutative ring with multiplicative identity and A the set of multiplicative closed that has non-zero divisor. In this paper, we have shown some results of derivation on ring theory. If is a ring derivation of R and is a divisor ring of , we can construct for all , then the map is a derivation on . The concept of embedding one ring into another ring can be used so that the ring of constant of , namely , is a subring of the divisor ring . Related to the ideal on ring theory, if I is an ideal of R, then where is also a derivation on the ring . The last result in this paper comes from the ring of cartesian product, take be a ring with derivation for . The cartesian product ring have a derivation ring defined by for any .