Self-automaton semigroups

A. McLeman

doi:10.1007/s00233-014-9610-3

Self-automaton semigroups

A. McLeman

Research output: Contribution to journal › Article › peer-review

1 Citation (Scopus)

Abstract

After reviewing automaton semigroups, we introduce Cayley automata and the corresponding Cayley automaton semigroups. We investigate which semigroups are isomorphic to their Cayley automaton semigroup and give some results for special classes of semigroups. We answer a question posed by Cain relating to the dual construction.

Original language	English
Journal	Semigroup Forum
Volume	90
Issue number	1
Early online date	31 May 2014
DOIs	https://doi.org/10.1007/s00233-014-9610-3
Publication status	Published - Feb 2015

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10.1007/s00233-014-9610-3

Automata Languages Decidability: Automata, Languages, Decidability in Algebra
Ruskuc, N. (PI) & Quick, M. (CoI)
EPSRC
1/03/10 → 31/05/14
Project: Standard

Cite this

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AB - After reviewing automaton semigroups, we introduce Cayley automata and the corresponding Cayley automaton semigroups. We investigate which semigroups are isomorphic to their Cayley automaton semigroup and give some results for special classes of semigroups. We answer a question posed by Cain relating to the dual construction.

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Self-automaton semigroups

Abstract

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Automata Languages Decidability: Automata, Languages, Decidability in Algebra

Cite this