Symmetries of automata
For a given reachable automaton \(\mathcal A\), we prove that the (state-) endomorphism monoid \(End({\mathcal A})\) divides its characteristic monoid \(M({\mathcal A})\). Hence so does its (state-)automorphism group \(Aut({\mathcal A})\), and, for finite \(\mathcal A\), \(Aut(\mathcal A)\) is a hom...
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| Date: | 2018 |
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| Main Authors: | , |
| Format: | Article |
| Language: | English |
| Published: |
Lugansk National Taras Shevchenko University
2018
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| Subjects: | |
| Online Access: | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1175 |
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| Journal Title: | Algebra and Discrete Mathematics |