关于单Artinian环上长方矩阵的保粘切的映射

刘志军,戴建宇,王加宾



关于单Artinian环上长方矩阵的保粘切的映射

刘志军,戴建宇,王加宾

(长沙理工大学 数学与计算科学学院, 湖南 长沙, 410114)

单Artinian环; 矩阵几何; 粘切

下面讨论单Artinian环上长方矩阵的保粘切的映射.

证明 由引理8我们很容易得到以上结果.

证毕.

[1] Hungerford T W. Algebr[M]. New York: Springer-Verlag, 1974.

[2] Huang Liping. Geometry of Matrices over Ring[M]. Beijing: Science Press, 2006.

[3] Huang Liping. Good distance graphs and geometry of matrices[J]. Linear Algebra and its Application, 2010, 433: 221-232.

[4] 王加宾, 黄礼平, 刘志军. 单Artinian环上长方矩阵的算术距离与好的距离图[J]. 数学理论与应用, 2011, 31(2): 15-19.

[5] Huang Liping, Xiao Xu. Good distance graph on rectan-gular matrices over a Bezout domain[A]. Jiang Erxiong, Proceedings of the 9th International Conference on Matrix Theory and Its Applications[C]. World Academic Press, 2010(2): 243-246.

Adjacency preserving maps on matrices over a simple Artinian ring

LIU Zhi-jun, DAI Jian-yu, WANG Jia-bin

(School of Mathematics and Computing Science, Changsha University of Science and Technology, Changsha 410114, China)

simple Artinian ring; geometry of matrices; adjacency

10.3969/j.issn.1672-6146.2011.03.007

O151.21

1672-6146(2011)03-0021-03

2011-06-29

湖南省教育厅资助重点科研项目(10A002)

刘志军(1984-), 男, 硕士研究生, 研究方向为代数学. E-mail: lzj19840219@163.com

(责任编校: 刘晓霞)