Some properties and domination number of the complement of a new graph associated to a commutative ring
author
Abstract:
In this paper some properties of the complement of a new graph associated with a commutative ring are investigated ....
similar resources
Some results on the complement of a new graph associated to a commutative ring
The rings considered in this article are commutative with identity which are not fields. Let R be a ring. A. Alilou, J. Amjadi and Sheikholeslami introduced and investigated a graph whose vertex set is the set of all nontrivial ideals of R and distinct vertices I, J are joined by an edge in this graph if and only if either ann(I)J = (0) or ann(J)I = (0). They called this graph as a new graph as...
full textA graph associated to spectrum of a commutative ring
Let $R$ be a commutative ring. In this paper, by using algebraic properties of $R$, we study the Hase digraph of prime ideals of $R$.
full textA Note on a graph associated to a commutative ring
The rings considered in this article are commutative with identity. This article is motivated by the work on comaximal graphs of rings. In this article, with any ring $R$, we associate an undirected graph denoted by $G(R)$, whose vertex set is the set of all elements of $R$ and distinct vertices $x,y$ are joined by an edge in $G(R)$ if and only if $Rxcap Ry = Rxy$. In Section 2 of this articl...
full texta graph associated to spectrum of a commutative ring
let $r$ be a commutative ring. in this paper, by using algebraic properties of $r$, we study the hase digraph of prime ideals of $r$.
full textA note on a graph related to the comaximal ideal graph of a commutative ring
The rings considered in this article are commutative with identity which admit at least two maximal ideals. This article is inspired by the work done on the comaximal ideal graph of a commutative ring. Let R be a ring. We associate an undirected graph to R denoted by mathcal{G}(R), whose vertex set is the set of all proper ideals I of R such that Inotsubseteq J(R), where J(R) is...
full textsome properties of comaximal ideal graph of a commutative ring
let $r$ be a commutative ring with identity. we use $varphi (r)$ to denote the comaximal ideal graph. the vertices of $varphi (r)$ are proper ideals of r which are not contained in the jacobson radical of $r$, and two vertices $i$ and $j$ are adjacent if and only if $i + j = r$. in this paper we show some properties of this graph together with planarity of line graph assoc...
full textMy Resources
Journal title
volume 3 issue 12
pages 99- 108
publication date 2018-01-01
By following a journal you will be notified via email when a new issue of this journal is published.
Hosted on Doprax cloud platform doprax.com
copyright © 2015-2023