Note on a theorem of A. Aiba Original Research Article

Recently A. Aiba (J. Number Theory 102 (2003) 118) gave a criterion whether the valuation ring of a wildly ramified Artin–Schreier extension of image is isomorphic to the associated order of this extension. We correct a mistake of (Aiba (2003)) and give easier substitutes for the (modified) condition of that criterion.