%0 Journal Article
%T On periodic points of free inverse monoid endomorphisms
%A Emanuele Rodaro
%A Pedro V. Silva
%J Mathematics
%D 2012
%I arXiv
%R 10.1142/S0218196713500446
%X 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.
%U http://arxiv.org/abs/1212.4284v1