Associate class graph of zero-divisors of a commutative ring
2019 ◽
Vol 19
(08)
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pp. 2050155
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In this paper, we introduce the concept of the associate class graph of zero-divisors of a commutative ring [Formula: see text], denoted by [Formula: see text]. Some properties of [Formula: see text], including the diameter, the connectivity and the girth are investigated. Utilizing this graph, we present a new class of counterexamples of Beck’s conjecture on the chromatic number of the zero-divisor graph of a commutative ring.
2016 ◽
Vol 16
(07)
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pp. 1750132
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2015 ◽
Vol 14
(06)
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pp. 1550079
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2012 ◽
Vol 12
(02)
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pp. 1250151
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2012 ◽
Vol 55
(1)
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pp. 127-137
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2007 ◽
Vol 2007
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pp. 1-15
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2020 ◽
Vol 12
(1)
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pp. 84-101
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