Finite commutative ring with genus two essential graph
2018 ◽
Vol 17
(07)
◽
pp. 1850121
Keyword(s):
Let [Formula: see text] be a commutative ring with identity and let [Formula: see text] be the set of zero-divisors of [Formula: see text]. The essential graph of [Formula: see text] is defined as the graph [Formula: see text] with the vertex set [Formula: see text] and two distinct vertices [Formula: see text] and [Formula: see text] are adjacent if and only if [Formula: see text] is an essential ideal. In this paper, we classify all finite commutative rings with identity for which the genus of [Formula: see text] is two.
Keyword(s):
2012 ◽
Vol 11
(06)
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pp. 1250103
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Keyword(s):
2020 ◽
Vol 12
(1)
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pp. 84-101
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Keyword(s):
2013 ◽
Vol 12
(04)
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pp. 1250199
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2019 ◽
Vol 19
(12)
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pp. 2050226
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Keyword(s):
2019 ◽
Vol 19
(09)
◽
pp. 2050173
2014 ◽
Vol 06
(03)
◽
pp. 1450037
Keyword(s):
2018 ◽
Vol 17
(10)
◽
pp. 1850193
◽
Keyword(s):
2015 ◽
Vol 07
(01)
◽
pp. 1450064
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