On periodic points of free inverse monoid endomorphisms

نویسندگان

  • Emanuele Rodaro
  • Pedro V. Silva
چکیده

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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عنوان ژورنال:
  • IJAC

دوره 23  شماره 

صفحات  -

تاریخ انتشار 2013