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Geometry of Alternate Matrices over Bezout Domains

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成果类型:
期刊论文
作者:
Huang, Liping*;Li, Yingchun;Zhao, Kang
通讯作者:
Huang, Liping
作者机构:
[Huang, Liping; Zhao, Kang] Changsha Univ Sci & Technol, Sch Math, Changsha 410114, Hunan, Peoples R China.
[Li, Yingchun] Honghe Univ, Coll Math, Mengzi 661100, Yunnan, Peoples R China.
通讯机构:
[Huang, Liping] C
Changsha Univ Sci & Technol, Sch Math, Changsha 410114, Hunan, Peoples R China.
语种:
英文
关键词:
geometry of matrices;alternate matrix;Bezout domain;adjacency;maximal adjacency set
期刊:
代数集刊:英文版
ISSN:
1005-3867
年:
2013
卷:
20
期:
2
页码:
197-214
基金类别:
National Natural Science Foundation of ChinaNational Natural Science Foundation of China (NSFC) [10671026]; Scientific Research Fund of Hunan Provincial Education DepartmentHunan Provincial Education Department [10A002]
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 R be a commutative Bezout domain. Denote by Kn the set of all n × n alternate matrices over R. This paper discusses the adjacency preserving bijective maps in both directions on Kn, and extends Liu's theorem on the geometry of alternate matrices over a field to the case of a Bezout domain. © 2013 Academy of Mathematics and Systems Science, Chinese Aca...

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