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Additive rank-one nonincreasing maps on Hermitian matrices over the field GF(2[sup]2)Marko Orel,
Bojan Kuzma, 2009, izvirni znanstveni članek
Opis: A 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.
Ključne besede: mathematics, linear algebra, additive preserver, hermitian matrices, rank, Galois field, weak homomorphism of a graph
Objavljeno v RUP: 02.04.2017; Ogledov: 2900; Prenosov: 93
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