ADDITIVE RANK-ONE NONINCREASING MAPS ON HERMITIAN MATRICES OVER THE FIELD GF(2(2))

作者：Orel Marko^*; Kuzma Bojan

来源：Electronic Journal of Linear Algebra, 2009, 18: 482-499.

• Hermitian matrix
• Rank
• Additive preserver
• Galois field
• Weak homomorphism of a graph

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.

• 出版日期2009-8