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It is proved that irrespective of compressibility tokamak steady states withpurely poloidal mass flow can not exist in the framework of eithermagnetohydrodynamics (MHD) or Hall MHD models. Non-existence persists withinsingle fluid plasma models with pressure anisotropy and incompressible flows.Comment: The conclusion reported in the last sentence of the first paragraph  of Sec. V in the version of the paper published in Physics of Plasmas is  incorrect. The correct conclusion is given here (15 pages

On nonexistence of tokamak equilibria with purely poloidal flow