Date of Award
M.S. in Mathematics
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.
Acosta, Amanda Catherine, "Characterizations Of Zero Divisor Graphs Determined By Equivalence Classes Of Zero Divisors" (2012). Electronic Theses and Dissertations. 1065.