Additive rank-one nonincreasing maps on Hermitian matrices over the field GF(2[sup]2)Orel, Marko (Avtor) Kuzma, Bojan (Avtor) mathematicslinear algebraadditive preserverhermitian matricesrankGalois fieldweak homomorphism of a graphA complete classification of additive rank-one nonincreasing maps on hermitian matrices over Galois field ▫$GF(2^2)$▫ is obtained. This field is special and was not covered in a previous paper. As a consequence, some known applications, like the classification of additive rank-additivity preserving maps, are extended to arbitrary fields. An application concerning the preservers of hermitian varieties is also presented.20092016-04-08 16:46:43Delo ni kategorizirano7730sl