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arXiv · 1212.4284

On periodic points of free inverse monoid endomorphisms

Emanuele Rodaro·Pedro V. Silva
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Abstract

It is proved that the periodic point submonoid of a free inverse monoid endomorphism is always finitely generated. Using Chomsky's hierarchy of languages, we prove that the fixed point submonoid of an endomorphism of a free inverse monoid can be represented by a context-sensitive language but, in general, it cannot be represented by a context-free language.

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Emanuele Rodaro, Pedro V. Silva. 2012-12-18. On periodic points of free inverse monoid endomorphisms. https://doi.org/10.1142/s0218196713500446

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