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Ideal, Gelanggang Faktor Dari Gelanggang Noether Lalu Hasan Ghoffari; Marena Rahayu Gayatri
Fraktal : Jurnal Matematika dan Pendidikan Matematika Vol 4 No 1 (2023): Mei 2023
Publisher : Universitas Nusa Cendana

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.35508/fractal.v4i1.9790

Abstract

Abstract algebra is one of the most interesting sciences in mathematics. Many things are learned in abstract algebra. One of them is the Noetherian rings. A Noetherian ring is a ring that is defined based on a finite ideal set of a ring. The method used is a literature review or also called a literature study, namely research conducted by collecting theories and information related to research with the help of references such as books or scientific journals. One of the theorems formed based on the definition of a Noetherian is that if R is a Noetherian ring, then R[x] is also a Noetherian.
TOPOLOGY INDEX OF THE COPRIME GRAPH FOR DIHEDRAL GROUP OF PRIME POWER ORDER Marena Rahayu Gayatri; Rifdah Fadhilah; Sahin Two Lestari; Lia Fitta Pratiwi; Abdurahim Abdurahim; I Gede Adhitya Wisnu Wardhana
JURNAL DIFERENSIAL Vol 5 No 2 (2023): November 2023
Publisher : Program Studi Matematika, Universitas Nusa Cendana

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.35508/jd.v5i2.12462

Abstract

In the field of molecular chemistry, graph theory is utilized to represent the structure of a molecule, where the set of nodes corresponds to its chemical elements and the set of edges represents the bonds within the chemical molecule. Graph theory, a mathematical discipline, finds application in various domains, one of which is group representation. This research will delve into the topic of the topological indices of the coprime graph of dihedral groups. The methodology employed involves reviewing several references related to dihedral groups, coprime graphs, and topological indices. This study yields results in the form of Harmonic index, Harary index, first Zagreb index, Gutman index, and Wiener index.