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.

引用

页码：482 / 499

页数：18

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