Rank-permutable additive mappingsAlieva, Anna A. (Avtor) Guterman, Aleksandr Èmilevič (Avtor) Kuzma, Bojan (Avtor) mathematicslinearna algebramatrix algebrarankpermutationadditive preserversLet ▫$\sigma$▫ be a fixed non-identical permutation on ▫$k$▫ elements. Additive bijections ▫$T$▫ on the matrix algebra ▫$M_n(\mathbb{F})$▫ over a field ▫$\mathbb{F}$▫ of characteristic zero, with the property that ▫$\rm{rk} (A_1...A_k) = \rm{rk} (A_{\sigma(1)}...A_{\sigma(k)})$▫ implies the same condition on the ▫$T$▫ images, are characterized. It is also shown that the surjectivity assumption can be relaxed, if this property is preserved in both directions.20062013-10-15 12:05:02Delo ni kategorizirano621sl