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University of Mississippi

Characterizations Of Zero Divisor Graphs Determined By Equivalence Classes Of Zero Divisors

Abstract

dc:description.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.

Degree

thesis:*
Name thesis:degree_name
M.S. in Mathematics
Level thesis:degree_level
Thesis
Discipline thesis:degree_discipline
Mathematics
Year dc:date.available
2012

Author and committee

dc:creator, dc:contributor.*
Author dc:creator
  • Acosta, Amanda Catherine
Contributors dc:contributor
  • Sandra Spiroff
  • Nathan Jones

Subjects

dc:subject × 1

Identifiers

dc:identifier.*
Repository record dc:identifier
https://egrove.olemiss.edu/etd/1065
OAI identifier oai:identifier
oai:egrove.olemiss.edu:etd-2064

Chain of custody

source
Harvested from
University of Mississippi
Base URL
egrove.olemiss.edu/do/oai/
Last updated
2026-07-24
Source record
OAI-PMH GetRecord
citation

Acosta, Amanda Catherine. Characterizations Of Zero Divisor Graphs Determined By Equivalence Classes Of Zero Divisors. Thesis thesis, 2012. https://egrove.olemiss.edu/etd/1065