Fixed points of endomorphisms of trace monoids
classification
🧮 math.GR
cs.FL
keywords
fixedtracecontinuousendomorphismsmonoidspointpointsproved
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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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