The primitive matrices of sandwich semigroups of generalized circulant Boolean matrices |
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| Authors: | Jian-ping Liu Jin-song Chen |
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| Institution: | 1. College of Mathematics and Computer Science, Fuzhou University, Fuzhou, 350108, China
2. College of Mathematics and Computer Science, Hunan Normal University, Changsha, 410081, China
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| Abstract: | Let G n (C) be the sandwich semigroup of generalized circulant Boolean matrices with the sandwich matrix C and G C (J n ) the set of all primitive matrices in G n (C). In this paper, some necessary and sufficient conditions for A in the semigroup G n (C) to be primitive are given. We also show that G C (J n ) is a subsemigroup of G n (C). |
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| Keywords: | generalized circulant Boolean matrix sandwich semigroup primitive matrix |
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