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1. Zero-Divisor Graphs, Commutative Rings of Quotients, and Boolean Algebras

Author

LaGrange, John D.

Subjects
Algebra, Mathematics
Abstract

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 particular interest are Boolean rings and commutative rings of quotients.

Published
2008

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