BAREKENG: Jurnal Ilmu Matematika dan Terapan
Vol 17 No 3 (2023): BAREKENG: Journal of Mathematics and Its Applications

ANNIHILATING IDEAL AND EXACT ANNIHILATING IDEAL GRAPH OF RING Z_n

Anindito Wisnu Susanto (Department of Mathematics Education, Faculty of Teacher Training and Education, Sanata Dharma University, Indonesia)
Dewa Putu Wiadnyana Putra (Department of Mathematics Education, Faculty of Teacher Training and Education, Sanata Dharma University, Indonesia)



Article Info

Publish Date
30 Sep 2023

Abstract

The existence of annihilator in the ring motivates the emergence of studies on Annihilating Ideal and Exact Annihilating Ideal Graphs. The purpose of this research is to describe the characteristics of an (exact) annihilating ideal of ring . The method used in this research is literature study. The results of this study discuss finiteness, adjacency, connectedness, vertices, and types of and . Furthermore, the number of vertices of an Annihilating Ideal Graph is determined by the factorization of . The adjacency of two vertices is determined by the divisibleness of . The results also show that is a subgraph of . can be represented as a union of several complete graphs.

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Journal Info

Abbrev

barekeng

Publisher

Subject

Computer Science & IT Control & Systems Engineering Economics, Econometrics & Finance Energy Engineering Mathematics Mechanical Engineering Physics Transportation

Description

BAREKENG: Jurnal ilmu Matematika dan Terapan is one of the scientific publication media, which publish the article related to the result of research or study in the field of Pure Mathematics and Applied Mathematics. Focus and scope of BAREKENG: Jurnal ilmu Matematika dan Terapan, as follows: - Pure ...