dc.contributor.author | Egri-Nagy, Attila | |
dc.contributor.author | Nehaniv, C.L. | |
dc.date.accessioned | 2015-10-08T13:47:04Z | |
dc.date.available | 2015-10-08T13:47:04Z | |
dc.date.issued | 2015-03-24 | |
dc.identifier.citation | Egri-Nagy , A & Nehaniv , C L 2015 , ' Symmetries of Automata ' , Algebra and Discrete Mathematics , vol. 19 , no. 1 , pp. 48-57 . < http://adm.luguniv.edu.ua/downloads/issues/2015/N1/adm-n1(2015)-6.pdf > | |
dc.identifier.issn | 1726-3255 | |
dc.identifier.uri | http://hdl.handle.net/2299/16515 | |
dc.description | Content in the UH Research Archive is made available for personal research, educational, and non-commercial purposes only. Unless otherwise stated, all content is protected by copyright, and in the absence of an open license, permissions for further re-use should be sought from the publisher, the author, or other copyright holder. | |
dc.description.abstract | For a given reachable automaton A, we prove that the (state-)endomorphism monoid End(A) divides its characteristic monoid M(A). Hence so does its (state-)automorphism group Aut(A), and, for finite A, Aut(A) is a homomorphic image of a subgroup of the characteristic monoid. It follows that in the presence of a (state-) automorphism group G of A, a finite automaton A (and its transformation monoid) always has a decomposition as a divisor of the wreath product of two transformation semigroups whose semigroups are divisors of M(A), namely the symmetry group G and the quotient of M(A) induced by the action of G. Moreover, this division is an embedding if M(A) is transitive on states of A. For more general automorphisms, which may be non-trivial on input letters, counterexamples show that they need not be induced by any corresponding characteristic monoid element. | en |
dc.format.extent | 10 | |
dc.format.extent | 675641 | |
dc.language.iso | eng | |
dc.relation.ispartof | Algebra and Discrete Mathematics | |
dc.subject | 2010 Mathematics Subject Classification: 20B25, 20E22, 20M20, 20M35, 68Q70. | |
dc.title | Symmetries of Automata | en |
dc.contributor.institution | School of Computer Science | |
dc.contributor.institution | Science & Technology Research Institute | |
dc.contributor.institution | Centre for Computer Science and Informatics Research | |
dc.contributor.institution | Adaptive Systems | |
dc.description.status | Peer reviewed | |
dc.identifier.url | http://adm.luguniv.edu.ua/ | |
dc.identifier.url | http://adm.luguniv.edu.ua/downloads/issues/2015/N1/adm-n1(2015)-6.pdf | |
dc.identifier.url | http://mi.mathnet.ru/eng/adm/v19/i1/p48 | |
rioxxterms.type | Journal Article/Review | |
herts.preservation.rarelyaccessed | true | |