In this letter applying the results about structural stabilities (cf. R. Maé & C. Pugh, Dynamical Systems-Warwick 1974, Lecture Notes Math., Vol. 468), we study the πproperty of Anosov endomorphisms on tori. We have proved the following
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Department of Mathematics, Faculty of Mathematical Sciences, Tarbiat Modares UniversityDepartment of Mathematics, Faculty of Mathematical Sciences, Tarbiat Modares University