On intersection minimal ideal graph of a ring

Author(s):

Bikash Barman , Kukil Rajkhowa *

Message:
Article Type:
Research/Original Article (دارای رتبه معتبر)
Abstract:
For a ring $R$, the intersection minimal ideal graph, denoted by $ \wedge(R) $, is a simple undirected graph whose vertices are proper non-zero (right) ideals of $R$ and any two distinct vertices $I_{1}$ and $I_{2}$ are adjacent if and only if $ I_{1} \cap I_{2}$ is a minimal ideal of $R$. In this article, we explore connectedness, clique number, split character, planarity, independence number, domination number of $\wedge(R)$.
Keywords:

Essential Ideal , Minimal Ideal , Socle

Language:
English
Published:
Journal of Algebraic Structures and Their Applications, Volume:12 Issue: 1, Winter 2025
Pages:
1 to 9
https://www.magiran.com/p2828448