%0 Journal Article %T A Mazur-Ulam theorem for Mappings of conservative distance in non-Archimedean $n$-normed spaces %A Hahng-Yun Chu %A Se-Hyun Ku %J Mathematics %D 2009 %I arXiv %X In this article, we study the notions of $n$-isometries in non-Archimedean $n$-normed spaces over linear ordered non-Archimedean fields, and prove the Mazur-Ulam theorem in the spaces. Furthermore, we obtain some properties for $n$-isometries in non-Archimedean $n$-normed spaces. %U http://arxiv.org/abs/0912.2039v1