Electronic Theses and Dissertations

Date of Award

2012

Document Type

Dissertation

Degree Name

M.S. in Mathematics

Department

Mathematics

First Advisor

Sandra Spiroff

Second Advisor

Nathan Jones

Third Advisor

Sandra Spiroff

Abstract

We study zero divisor graphs of commutative rings determined by equivalence classes of zero divisors, specifically for a Noetherian ring R. We study the classification of these graphs. Specifically, we add more criteria to the list of characterizations that disqualify a graph as the zero divisor graph of a ring. We also briefly discuss Sage, a mathematical software, which was an aid in providing visual pictures for the graphs under study.

Included in

Mathematics Commons

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