On structure and representations of cyclic automata (Q897902)
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scientific article; zbMATH DE number 6517451
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On structure and representations of cyclic automata |
scientific article; zbMATH DE number 6517451 |
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On structure and representations of cyclic automata (English)
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8 December 2015
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The authors deal with finite one-generated unary algebras (that is, finite semiautomata with all states reachable from a single state) such that every element is an image of some generator under an endomorphism, and this generator is uniquely determined, up to automorphisms of the algebra. Some results about the structure of such algebras are proved, in particular in the case that the endomorphism monoid is either a semilattice or a semilattice of groups.
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finite unary algebras
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endomorphism monoids
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semiautomata
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Clifford monoids
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