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域上矩阵群逆的加法保持映射 被引量:6

Additive Maps Preserving Group Inverses of Matrics over Fields
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摘要 在本文中,我们刻画了保持域上矩阵群逆的加法映射的形式. In this paper, we characterize the forms of additive maps which preserves group inverses of matrics over fields.
出处 《Journal of Mathematical Research and Exposition》 CSCD 北大核心 2004年第3期503-507,共5页 数学研究与评论(英文版)
基金 黑龙江省自然科学基金资助项目(AO1-07) 哈尔滨工程大学基础研究基金项目(HEUF04019)
关键词 加法映射 矩阵群逆 field additive map group inverse of matrics.
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参考文献7

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共引文献22

同被引文献34

  • 1徐金利.关于特征2的域上保对称矩阵群逆的线性保持[J].高师理科学刊,2005,25(1):1-4. 被引量:2
  • 2卜长江,周洪玲.保域上矩阵群逆的线性算子(英文)[J].数学研究,2006,39(2):133-138. 被引量:3
  • 3LI C K,TSING N K.Linear Preserver Problems:A Brief Introduction and Some Special Techniques[J].Lin.Alg.App.,1992,162-164:217-235.
  • 4CAO C G,ZHANG X.Linear Preservers between Matrix Modules over Connected Commutative Rings[J].Linear Algebra and its Application,2005,397:355-366.
  • 5ZHANG X,CAO C G,BU C J.Additive Maps Preserving M-P Inverses of Matrices over Fields[J].Lin Multilinear Alg,1999,46:199-211.
  • 6张显 曹重光.保不变量的矩阵加群同态[M].哈尔滨:哈尔滨出版社,2001..
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  • 9CAO C G,ZHANG X.Additive operators preserving idempotent matrices over fields and applications[J].Linear Algebra Appl,1996,248:327 -338.
  • 10CAO C G,ZHANG X.Linear preservers between matrix modules over connected commutative rings[J].Linear Algebra Appl,2005,397:355 -366.

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