• Non-comaximal graph of ideals of a ring

• # Fulltext

https://www.ias.ac.in/article/fulltext/pmsc/129/05/0076

• # Keywords

Non-comaximal graph; maximal ideal; independence set

• # Abstract

Let R be a ring. The non-comaximal graph of R, denoted by $NC(R)$ is an undirected graph whose vertex set is the collection of all non-trivial (left) ideals of $R$ and any two distinct vertices $I$ and $J$ are adjacent if and only if $I + J \neq R$. The concepts of connectedness, independent set, clique and traversability of $NC(R)$ are discussed.

• # Author Affiliations

1. Department of Mathematics, Cotton University, Guwahati 781 001, India

• # Proceedings – Mathematical Sciences

Volume 131, 2021
All articles
Continuous Article Publishing mode

• # Editorial Note on Continuous Article Publication

Posted on July 25, 2019