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All Journal Journal of the Indonesian Mathematical Society
Ni Wayan Switrayni
Department of Mathematics, Faculty of Mathematics and Natural Sciences, University of Mataram
Mathematics

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Numerical Invariants of Coprime Graph of A Generalized Quaternion Group Nurhabibah Nurhabibah; I Gede Adhitya Wisnu Wardhana; Ni Wayan Switrayni
Journal of the Indonesian Mathematical Society VOLUME 29 NUMBER 1 (MARCH 2023)
Publisher : IndoMS

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22342/jims.29.1.1245.36-44

Abstract

The coprime graph of a finite group was defined by Ma, denoted by ΓG, is a graph with vertices that are all elements of group G and two distinct vertices x and y are adjacent if and only if (|x|, |y|) = 1. In this study, we discuss numerical invariants of a generalized quaternion group. The numerical invariant is a property of a graph in numerical value and that value is always the same on an isomorphic graph. This research is fundamental research and analysis based on patterns in some examples. Some results of this research are the independence number of ΓQ4n is 4n − 1 or 3n and its complement metric dimension is 4n − 2 for each n ≥ 2.
A Note on Free Module Decomposition over A Principal Ideal Domain Ni Wayan Switrayni; I Gede Adhitya Wisnu Wisnu Wardhana; Qurratul Aini
Journal of the Indonesian Mathematical Society VOLUME 29 NUMBER 2 (JULY 2023)
Publisher : IndoMS

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22342/jims.29.2.1246.150-155

Abstract

Some methods have been used to express a finitely generated module over a principal ideal domain as a finite direct sum of its cyclic submodules. In this paper, we give an alternative technique to decompose a free module with finite rank over a principal ideal domain using eigen spaces of its endomorphism ring.
Co-Authors I Gede Adhitya Wisnu Wardhana Nurhabibah Nurhabibah Qurratul Aini