Additive rank-one nonincreasing maps on Hermitian matrices over the field GF(4)
نویسندگان
چکیده
A complete classification of additive rank–one nonincreasing maps on hermitian matrices over Galois field GF (22) 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.
منابع مشابه
Ela Additive Rank–one Nonincreasing Maps on Hermitian Matrices over the Field
A complete classification of additive rank–one nonincreasing maps on hermitian matrices over Galois field GF (22) 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 varieti...
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