Adjacency-Like Conditions and Induced Ideal Graphs
Commutative Algebra
2023-03-02 v1
Abstract
In this paper we examine some natural ideal conditions and show how graphs can be defined that give a visualization of these conditions. We examine the interplay between the multiplicative ideal theory and the graph theoretic structure of the associated graph. Behavior of these graphs under standard ring extensions are studied, and in conjunction with the theory, some classical results and connections are made.
Cite
@article{arxiv.2303.00148,
title = {Adjacency-Like Conditions and Induced Ideal Graphs},
author = {Saba al-Kaseasbeh and Jim Coykendall},
journal= {arXiv preprint arXiv:2303.00148},
year = {2023}
}
Comments
24 pages