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arXiv · 1211.4517

Fixed points of endomorphisms of trace monoids

Pedro V. Silva·Emanuele Rodaro
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Abstract

It is proved that the fixed point submonoid and the periodic point submonoid of a trace monoid endomorphism are always finitely generated. Considering the Foata normal form metric on trace monoids and uniformly continuous endomorphisms, a finiteness theorem is proved for the infinite fixed points of the continuous extension to real traces.

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Pedro V. Silva, Emanuele Rodaro. 2012-11-19. Fixed points of endomorphisms of trace monoids. https://arxiv.org/abs/1211.4517

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