Characterizations of Three Classes of Zero-Divisor Graphs
2012 ◽
Vol 55
(1)
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pp. 127-137
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AbstractThe zero-divisor graph Γ(R) of a commutative ring R is the graph whose vertices consist of the nonzero zero-divisors of R such that distinct vertices x and y are adjacent if and only if xy = 0. In this paper, a characterization is provided for zero-divisor graphs of Boolean rings. Also, commutative rings R such that Γ(R) is isomorphic to the zero-divisor graph of a direct product of integral domains are classified, as well as those whose zero-divisor graphs are central vertex complete.
2020 ◽
Vol 12
(1)
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pp. 84-101
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2014 ◽
Vol 13
(07)
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pp. 1450047
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2019 ◽
Vol 8
(3S2)
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pp. 950-952
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2011 ◽
Vol 10
(04)
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pp. 665-674
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2019 ◽
Vol 19
(12)
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pp. 2050226
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2019 ◽
Vol 19
(08)
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pp. 2050155
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2007 ◽
Vol 2007
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pp. 1-15
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