Al-Bahir Journal for Engineering and Pure Sciences
Article Title
Abstract
Let R be a commutative ring with unit and M be a unitary left R-module. The δ-small intersection graph of non-trivial submodules of , denoted by , is an undirected simple graph whose vertices are the non-trivial submodules of , and two vertices are adjacent if and only if their intersection is a -small submodule of . In this article, we study the interplay between the algebraic properties of , and the graph properties of such as connectivity, completeness and planarity. Moreover, we determine the exact values of the diameter and girth of , as well as give a formula to compute the clique and domination numbers of
Recommended Citation
Alwan, Ahmed H.
(2023)
"δ-Small Intersection Graphs of Modules,"
Al-Bahir Journal for Engineering and Pure Sciences: Vol. 2
:
Iss.
2
, Article 10.
Available at: https://doi.org/10.55810/2312-5721.1026
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