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Mathematics  2012 

On periodic points of free inverse monoid endomorphisms

DOI: 10.1142/S0218196713500446

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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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