Results 31 to 40 of about 58 (51)

Resolvability in complement of the intersection graph of annihilator submodules of a module

2020
Summary: Let \(R\) be a commutative ring and \(M\) be an \(R\)-module. The intersection graph of annihilator submodules of \(M\), denoted by \(GA(M)\), is a simple undirected graph whose vertices are the classes of elements of \(Z(M)\setminus \mathrm{Ann}_R(M)\) and two distinct classes \([a]\) and \([b]\) are adjacent if and only if \(\mathrm{Ann}_M(a)
Payrovi, Sh., Pejman, S. B., Babaei, S.
openaire   +1 more source

Annihilating submodule graphs for modules over commutative rings

2015
Summary: In this article, we give several generalizations of the concept of annihilating ideal graph over a commutative ring with identity to modules. We observe that, over a commutative ring, \(R, \mathbb{AG}_*(_RM)\) is connected, and \(\mathrm{diam}\mathbb{AG}_*(_RM)\leq 3\).
openaire   +2 more sources

Some results on the sum-annihilating essential submodule graph

Summary: Consider a commutative ring \(R\) with a non-zero identity \(1 \neq 0\), and let \(M\) be a non-zero unitary module over \(R\). In this document, our goal is to present the sum-annihilating essential submodule graph \(\mathbb{AE}^0_R(M)\) and its subgraph \(\mathbb{AE}^1_R(M)\) of a module \(M\) over a commutative ring \(R\) which is described
openaire   +2 more sources

On two extensions of the annihilating-ideal graph of commutative rings

Georgian Mathematical Journal, 2023
Mohd Nazim, Nadeem Ur Rehman, Junaid Nisar   +2 more
exaly  

On a New Extension of Annihilating-Ideal Graph of Commutative Rings

Springer Proceedings in Mathematics and Statistics, 2022
Nadeem Ur Rehman, Mohd Nazim, Rehman Nadeem Ur   +2 more
exaly  

Strong metric dimension in annihilating-ideal graph of commutative rings

Applicable Algebra in Engineering, Communications and Computing, 2022
R Nikandish
exaly  

Maximal submodule graph of a module

Journal of Discrete Mathematical Sciences and Cryptography, 2021
Ahmed H Alwan
exaly  

On the coloring of the annihilating-ideal graph of a commutative ring

Discrete Mathematics, 2012
S Akbari, R Nikandish, M J Nikmehr
exaly  

The annihilating-ideal graph of a lattice

Georgian Mathematical Journal, 2016
Mojgan Afkhami, Kazem Khashyarmanesh
exaly  

The Annihilating-Ideal Graph of a Commutative Ring with Respect to an Ideal

Communications in Algebra, 2014
M Behboodi
exaly