Thesis Title

Proper Sum Graphs

Date of Graduation

Spring 2021

Degree

Master of Science in Mathematics

Department

Mathematics

Committee Chair

Cameron Wickham

Keywords

proper, sum, graph, ideal, maximal, minimal, comaximal

Subject Categories

Algebra

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.

Copyright

© Austin Nicholas Beard

Open Access

Included in

Algebra Commons

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