Zero-Divisor Graphs, Commutative Rings of Quotients, and Boolean Algebras
The zero-divisor graph of a commutative ring is the graph whose vertices are the nonzero zero-divisors of the ring such that distinct vertices are adjacent if and only if their product is zero. We use this construction to study the interplay between ring-theoretic and graph-theoretic properties. Of...
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Trace: Tennessee Research and Creative Exchange
2008
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| Online Access: | http://trace.tennessee.edu/utk_graddiss/393 |