Fixed points of endomorphisms of trace monoids

Published 19 Nov 2012 in math.GR and cs.FL | (1211.4517v1)

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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