Article Per Year (5 Year)
p-Index From 2020 - 2025
0.659
P-Index
This Author published in this journals
All Journal Journal of the Indonesian Mathematical Society Jurnal Matematika & Sains
Intan Muchtadi Alamsyah
Algebra Research Group Faculty of Mathematics and Natural Sciences, Institut Teknologi Bandung,
Mathematics

Published : 6 Documents Claim Missing Document
Claim Missing Document
Check
Articles

Found 6 Documents
Search

 1 
Basis Normal Self-Dual dan Variannya Irwansyah Irwansyah; Ahmad Muchlis; Intan Muchtadi Detiena
Jurnal Matematika & Sains Vol 17, No 3 (2012)
Publisher : Institut Teknologi Bandung

Show Abstract | Download Original | Original Source | Check in Google Scholar

Abstract

Basis normal self dual banyak digunakan dalam kriptografi. Dengan menggunakan basis tipe ini, dapat dikonstruksi aritmatika dengan kompleksitas rendah di lapangan hingga seperti perkalian dan perpangkatan. Tetapi, kelas basis ini hanya terdapat di lapangan hingga tertentu yaitu pada  dengan q ganjil atau dengan q genap dan . Untuk mengatasi  kekurangan ini, didefinisikan basis normal weakly self dual dan basis normal almost weakly self dual. Tulisan ini merupakan survei tentang hubungan antara basis normal self dual dan kedua variannya tersebut di lapangan hingga tertentu. Kata kunci: Lapangan hingga, Basis normal self dual, Basis normal weakly self dual, Basis normal almost weakly self dual.   Self-Dual Normal Basis and Their Variants Abstract Self dual normal basis has many applications in cryptography. We can construct arithmatic devices with relatively small complexity in finite fields using this type of  basis, such as multiplications and exponentials. Unfortunately, this type of basis exists in some particular finite fields only, i.e. in  with q is odd or even and . To avoid this limitation, two variants of self dual normal basis are introduced, i.e. weakly self dual normal basis and almost weakly self dual normal basis. In this paper, we survey connections among three type of normal basis above in particular finite fields. Keywords : Finite fields, Self dual normal basis, Weakly self dual normal basis, Almost weakly self dual normal basis.
Auslander Reiten Quiver of Nakayama Algebra Nn-2,n Faisal Faisal; Irawati Irawati; Intan Muchtadi Alamsyah
Jurnal Matematika & Sains Vol 18, No 1 (2013)
Publisher : Institut Teknologi Bandung

Show Abstract | Download Original | Original Source | Check in Google Scholar

Abstract

For an algebraically closed field K, given a finite dimensional K-algebra A of  finite representation-type, we can store all the information of the module category mod A by its Auslander Reiten quiver of mod A. In this paper, we will determine the Auslander Reiten quiver of Nakayama algebra Nn-2,n  for every natural number n greater than or equal to 3, that is the  Nakayama algebra KQ/I where Q is a linear orientation cyclic quiver with  vertices and  denotes the ideal of the path algebra KQ generated by the paths of length of n – 1. Keywords: AR-quiver , Nakayama algebra, Quiver.   Quiver Auslander Reiten dari Aljabar Nakayama Nn-2,n AbstrakDiberikan K-aljabar A berdimensi hingga tipe representasi hingga dengan K suatu lapangan yang tertutup secara aljabar,  kita dapat menyimpan semua informasi dari kategori modul kanan mod A menggunakan Auslander Reiten quiver (AR-quiver) dari mod A. Dalam artikel ini, kita akan menentukan quiver Auslander Reiten dari aljabar Nakayama untuk setiap bilangan asli n lebih besar sama dengan 3. Aljabar Nn-2,n adalah aljabar Nakayama KQ/I dimana Q adalah quiver siklis berorientasi linier dengan  titik dan I adalah ideal dari aljabar lintasan KQ yang dibangun oleh lintasan panjang n – 1. Kata Kunci : AR-quiver, Aljabar Nakayama, Quiver.
CHARACTERIZATION OF NAKAYAMA $m$-CLUSTER TILTED ALGEBRAS OF TYPE $A_n$ Faisal, Faisal; Muchtadi-Alamsyah, Intan
Journal of the Indonesian Mathematical Society Volume 22 Number 2 (October 2016)
Publisher : IndoMS

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22342/jims.22.2.213.93-130

Abstract

Abstract. For any natural natural number m, the m-cluster tilted algebras are generalization of cluster tilted algebras. These algebras are defined as the endomorphism of certain objects in m-cluster category called m-cluster tilting objects. Finding such objectin the m-cluster category has become a combinatorial problem. In this article we charac-terize Nakayama m-cluster tilted algebras of type An by geometric description given byBaur and Marsh.DOI : http://dx.doi.org/10.22342/jims.22.2.213.93-130
The Characterization of Almost Prime Submodule on the Finitely Generated Module over Principal Ideal Domain Wardhana, I Gede Adhitya Wisnu; Astuti, Pudji; Muchtadi-Alamsyah, Intan
Journal of the Indonesian Mathematical Society VOLUME 30 NUMBER 1 (MARCH 2024)
Publisher : IndoMS

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22342/jims.30.1.1396.63-76

Abstract

In most cases, almost prime submodules are equivalent to prime submodules, but in a finitely generated module, it is not necessarily equivalent. Based on the fact that a finitely generated module over a principal ideal domain can be decomposed into a free part and a torsion part, we give a new approach to the characteristic of almost prime submodules in the finitely generated module, especially we point out the cases when the submodules are almost prime but not prime.
Topological Indices of Relative g-noncommuting Graph of Dihedral Groups Supu, Nur Ain; Muchtadi-Alamsyah, Intan; Suwastika, Erma
Journal of the Indonesian Mathematical Society VOLUME 29 NUMBER 3 (NOVEMBER 2023)
Publisher : IndoMS

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22342/jims.29.3.1594.271-288

Abstract

Let G be a finite group, H be a subgroup of G and g be a fixed element of G. The relative g-noncommuting graph Γ(g,H,G) of G is defined as a graph with vertex set is G and two distinct vertices x and y are adjacent if [x, y] ̸= g or [x, y] ̸= g−1, where at least x or y belong to H. In this paper, we will discuss the relative g-non-commuting graph of the dihedral groups D(2n), in particular case when n is an odd number. We give several topological indices of the relative g-noncommuting graph of the dihedral groups D2n including the first Zagreb index, Wiener index, Edge-Wiener index, Hyper-Wiener index, and Harary index.
Representation Theory of Recurrent Neural Network Wanditra, Lucky Cahya; Alamsyah, Intan Muchtadi; Nasution, Dellavitha
Journal of the Indonesian Mathematical Society Vol. 31 No. 2 (2025): JUNE
Publisher : IndoMS

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22342/jims.v31i2.1833

Abstract

In this paper, we use the representation morphism concept to analyze the connection between two recurrent neural networks, primarily when we evaluate the neural network function between two isomorphic neural networks. We construct the set of all isomorphic classes of recurrent neural networks. We build the set by the action of the isomorphism group on the set of all recurrent neural networks that have invertible weight. By the group’s action, we get the set of orbits and call it the moduli space. We analyze the moduli space to get its dimensions.
Co-Authors Ahmad Muchlis Faisal Faisal Faisal Faisal I Gede Adhitya Wisnu Wardhana Irawati Irawati Irwansyah Irwansyah Nasution, Dellavitha PUDJI ASTUTI Supu, Nur Ain Suwastika, Erma Wanditra, Lucky Cahya