Date of Graduation
Spring 2021
Degree
Master of Science in Mathematics
Department
Mathematics
Committee Chair
Cameron Wickham
Abstract
The Proper Sum Graph of a commutative ring with identity has the prime ideals as vertices, with two ideals adjacent if their sum is a proper ideal. This thesis expands upon the research of Dhorajia. We will cover the groundwork to understanding the basics of these graphs, and gradually narrow our efforts into the minimal prime ideals of the ring.
Keywords
proper, sum, graph, ideal, maximal, minimal, comaximal
Subject Categories
Algebra
Copyright
© Austin Nicholas Beard
Recommended Citation
Beard, Austin Nicholas, "Proper Sum Graphs" (2021). MSU Graduate Theses. 3613.
https://bearworks.missouristate.edu/theses/3613
