• Prime intersection graph of ideals of a ring

• # Fulltext

https://www.ias.ac.in/article/fulltext/pmsc/130/0017

• # Keywords

Blow up; projective bundle; nef cone; chow ring

• # Abstract

Let $R$ be a ring. The prime intersection graph of ideals of $R$, denoted by $G_{P}(R)$, is the graph whose vertex set is the collection of all non-trivial (left) ideals of $R$ with two distinct vertices $I$ and $J$ are adjacent if and only if $I \cap J \neq 0$ and either one of $I$ or $J$ is a prime ideal of $R$. We discuss connectedness in $G_{P}(R)$. The concepts of bipartition, planarity and colorability are interpreted. Finally, we introduce the idea of traversability in $G_{P}(\mathbb{Z}_{n})$. The core part of this paper is observed in the ring $\mathbb{Z}_{n}$.

• # Author Affiliations

1. Department of Mathematics, Cotton University, Guwahati 781 001, India
2. Department of Mathematics, Gauhati University, Guwahati 781 014, India

• # Proceedings – Mathematical Sciences

Volume 131, 2021
All articles
Continuous Article Publishing mode

• # Editorial Note on Continuous Article Publication

Posted on July 25, 2019