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Graph homomorphisms on rectangular matrices over division rings II

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成果类型:
期刊论文
作者:
Huang, Li-Ping*;Zhao, Kang
通讯作者:
Huang, Li-Ping
作者机构:
[Huang, Li-Ping; Zhao, Kang] Changsha Univ Sci & Technol, Sch Math & Stat, Changsha 410004, Peoples R China.
通讯机构:
[Huang, Li-Ping] C
Changsha Univ Sci & Technol, Sch Math & Stat, Changsha 410004, Peoples R China.
语种:
英文
关键词:
05C60;15B33;51A10;51D20;Chi-Kwong Li;Graph homomorphism;division ring;geometry of matrices;matrix
期刊:
LINEAR & MULTILINEAR ALGEBRA
ISSN:
0308-1087
年:
2020
卷:
68
期:
2
页码:
391-409
基金类别:
We thank the referees for their time and comments. This work was supported by the National Natural Science Foundation of China (Project 11371072), and the Scientific Research Fund of Hunan Provincial Education Department 16C0037.
机构署名:
本校为第一且通讯机构
院系归属:
数学与统计学院
摘要:
Let (Formula presented.) be the set of (Formula presented.) matrices over a division ring (Formula presented.). Two matrices (Formula presented.) are adjacent if (Formula presented.). By the adjacency, (Formula presented.) is a connected graph. Suppose (Formula presented.) are division rings and (Formula presented.) are integers. When (Formula presented.), we characterize the graph homomorphism (Formula presented.) if (Formula presented.) and there exists (Formula presented.) such that (Formula presented.). © 2018, ©...

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