ADDITIVE RANK-ONE NONINCREASING MAPS ON HERMITIAN MATRICES OVER THE FIELD GF(22)

被引：0
|
作者：
Orel, Marko [1 ]
Kuzma, Bojan [1 ,2 ]
机构：
[1] IMFM, Ljubljana 1000, Slovenia
[2] Univ Primorska, Koper 6000, Slovenia
来源：
ELECTRONIC JOURNAL OF LINEAR ALGEBRA | 2009年 / 18卷
关键词：
Hermitian matrix; Rank; Additive preserver; Galois field; Weak homomorphism of a graph; POOLING DESIGNS; ASSOCIATION SCHEMES; SYMMETRIC-MATRICES; LINEAR PRESERVERS; DIVISION RING; SPACES; INVOLUTION; MAPPINGS; FORMS;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
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.
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页码：482 / 499
页数：18
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