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Preprint . 2014
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Self-automaton semigroups

descriptionPublicationkeyboard_double_arrow_right Article , Preprint , Other literature type 31 May 2014Embargo end date: 01 Jan 2014 English Publisher:Springer Science and Business Media LLCJournal:Semigroup Forum, volume 90, pages 189-206 (issn: 0037-1912, eissn: 1432-2137, Copyright policy )
Authors: Alexander McLeman;

doi: 10.1007/s00233-014-9610-3 , 10.48550/arxiv.1405.5712

arXiv: http://arxiv.org/abs/1405.5712

Self-automaton semigroups

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.

18 pages

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Keywords

FOS: Mathematics, Group Theory (math.GR), Mathematics - Group Theory, 20M35

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citations
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
1
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