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In this article, we study the notions of $n$-isometries in non-Archimedean$n$-normed spaces over linear ordered non-Archimedean fields, and prove theMazur-Ulam theorem in the spaces. Furthermore, we obtain some properties for$n$-isometries in non-Archimedean $n$-normed spaces.

A Mazur-Ulam theorem for Mappings of conservative distance in non-Archimedean $n$-normed spaces