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On a dynamical version of a theorem of Rosenlicht

On a dynamical version of a theorem of Rosenlicht

Consider the action of an algebraic group G on an irreducible algebraic variety X all defined over a field k.M. Rosenlicht showed that orbits in general position in X can be separated by rational invariants.We prove a dynamical analogue of this theorem, where G is replaced by a semigroup of …