“School of Mathematics”
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| Paper IPM / M / 11523 |
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| Abstract: | |
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The zero-divisor graph of ring R is the graph whose vertices consist of the non-zero zero-divisors of R in which
two distinct vertices a and b are adjacent if and only if either ab=0 or ba=0. In this paper, we
investigate some properties of zero-divisor graphs of Boolean rings. Among other results, we prove that for any two
rings R and S with Γ(R) ≅ Γ(S), if R is Boolean and |R| > 4, then R ≅ S.
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