關(guān)于單Artinian環(huán)上長方矩陣的保粘切的映射

劉志軍,戴建宇,王加賓

?

關(guān)于單Artinian環(huán)上長方矩陣的保粘切的映射

劉志軍,戴建宇,王加賓

(長沙理工大學(xué) 數(shù)學(xué)與計(jì)算科學(xué)學(xué)院, 湖南 長沙, 410114)

單Artinian環(huán); 矩陣幾何; 粘切

下面討論單Artinian環(huán)上長方矩陣的保粘切的映射.

證明 由引理8我們很容易得到以上結(jié)果.

證畢.

[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] 王加賓, 黃禮平, 劉志軍. 單Artinian環(huán)上長方矩陣的算術(shù)距離與好的距離圖[J]. 數(shù)學(xué)理論與應(yīng)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

湖南省教育廳資助重點(diǎn)科研項(xiàng)目(10A002)

劉志軍(1984-), 男, 碩士研究生, 研究方向?yàn)榇鷶?shù)學(xué). E-mail: lzj19840219@163.com

(責(zé)任編校: 劉曉霞)