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Under special conditions, we prove that the set of preperiodic points forsemigroups of self-morphisms of affine spaces falling on cyclotomic closures isnot dense. generalising results of Ostafe and Young (2020). We also extendprevious results about boundness of house and height on certain preperiodicitysets of higher dimension in semigroup dynamics.

Cyclotomic preperiodic points for morphisms in affine spaces and preperiodic points with bounded house and height