Self-Automaton Semigroups
Group Theory
2014-05-23 v1
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.
Cite
@article{arxiv.1405.5712,
title = {Self-Automaton Semigroups},
author = {Alexander McLeman},
journal= {arXiv preprint arXiv:1405.5712},
year = {2014}
}
Comments
18 pages