Two algebraic entropies are defined for amenable semigroup actions on abelian groups, and an Addition Theorem and a Bridge Theorem are proved for torsion abelian groups and totally disconnected compact abelian groups.
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Algebraic entropy for amenable semigroup actions
Two algebraic entropies are defined for amenable semigroup actions on abelian groups, and an Addition Theorem and a Bridge Theorem are proved for torsion abelian groups and totally disconnected compact abelian groups.