Rank permutability and additive operators preserving related rank product conditions

被引：0

作者：

Alieva A.A. ^{[1
]}

Guterman A.E. ^{[1
]}

机构：

[1] Faculty of Algebra, Department of Mathematics and Mechanics, Moscow State University

来源：

Journal of Mathematical Sciences | 2007年 / 140卷 / 2期

关键词：

Additive Operator; Invertible Matrix; Arbitrary Matrix; Scalar Matrix; Invertible Matrice;

D O I：

10.1007/s10958-007-0414-9

中图分类号：

学科分类号：

摘要：

We characterize bijective additive operators preserving rank product conditions of a certain type. We also show that if an additive operator preserves the corresponding condition strongly, then it is automatically nonsingular. © 2007 Springer Science+Business Media, Inc.

引用

页码：177 / 185

页数：8

共 14 条

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