On the symmetric digraphs from the kth power mapping on finite commutative rings
2015 ◽
Vol 07
(01)
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pp. 1450064
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Keyword(s):
Factor G
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For a finite commutative ring R and a positive integer k, let G(R, k) denote the digraph whose set of vertices is R and for which there is a directed edge from a to ak. The digraph G(R, k) is called symmetric of order M if its set of connected components can be partitioned into subsets of size M with each subset containing M isomorphic components. We primarily aim to factor G(R, k) into the product of its subdigraphs. If the characteristic of R is a prime p, we obtain several sufficient conditions for G(R, k) to be symmetric of order M.
2019 ◽
Vol 19
(12)
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pp. 2050226
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Keyword(s):
2019 ◽
Vol 19
(09)
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pp. 2050173
2018 ◽
Vol 17
(07)
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pp. 1850121
Keyword(s):
2014 ◽
Vol 13
(05)
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pp. 1350162
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2012 ◽
Vol 11
(06)
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pp. 1250103
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Keyword(s):
Keyword(s):
2017 ◽
Vol 96
(3)
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pp. 389-397
2013 ◽
Vol 12
(04)
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pp. 1250199
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2011 ◽
Vol 10
(04)
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pp. 665-674
Keyword(s):