NILPOTENT FINITE RINGS WITH PLANAR ZERO-DIVISOR GRAPHS
2008 ◽
Vol 01
(04)
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pp. 565-574
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The zero-divisor graph Γ(R) of an associative ring R is the graph with all vertices non-zero zero-divisors (one-sided and two-sided) of R, and two distinct vertices x and y are joined by an edge iff xy = 0 or yx = 0 ([10]). In the present paper, we describe all nilpotent finite rings with planar zero-divisor graphs.
2012 ◽
Vol 11
(03)
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pp. 1250055
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2012 ◽
Vol 05
(02)
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pp. 1250019
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2017 ◽
Vol 16
(03)
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pp. 1750056
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2019 ◽
Vol 19
(08)
◽
pp. 2050155
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2012 ◽
Vol 55
(1)
◽
pp. 127-137
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2007 ◽
Vol 2007
◽
pp. 1-15
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