| 交换环上三角矩阵模间的线性保持映射(英文) |
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| 引用本文： | 夏春光,王登银,偶世坤.交换环上三角矩阵模间的线性保持映射(英文)[J].数学杂志,2010,30(2). |
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| 作者姓名： | 夏春光 王登银 偶世坤 |
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| 作者单位： | 1. 中国科学技术大学数学系,安徽,合肥,221008
2. 中国矿业大学数学系,江苏,徐州,221008 |
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| 摘 要： | 本文研究了交换环上三角矩阵模间的线性保持问题.利用矩阵计算技巧和局部化技巧,刻画了上三角矩阵T_n(R)上分别保持立方幂等,{1}逆,{1,2}逆和群逆的所有R模自同构集合中的元素,其中R是交换环.
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| 关 键 词： | 线性保持 三角矩阵模 交换环 |
LINEAR PRESERVERS BETWEEN TRIANGULAR MATRIX MODULES OVER COMMUTATIVE RINGS |
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| XIA Chun-guang,WANG Deng-yin,OU Shi-kun.LINEAR PRESERVERS BETWEEN TRIANGULAR MATRIX MODULES OVER COMMUTATIVE RINGS[J].Journal of Mathematics,2010,30(2). |
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| Authors: | XIA Chun-guang WANG Deng-yin OU Shi-kun |
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| Institution: | XIA Chun-guang1,WANG Deng-yin2,OU Shi-kun2(1.Dept.of Math.,University of Science , Technology of China,Hefei 230026,China)(2.Dept.of Math.,China University of Mining , Technology,Xuzhou 221008,China) |
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| Abstract: | This article investigates some linear preserver problems between triangular matrix modules over commutative rings.By using matrix computational techniques and localization techniques,we characterize the elements in the sets of all R-module automorphisms on upper triangular matrix Tn(R) that preserve tripotence,{1}-inverse,{1,2}-inverse and group inverse,respectively,when R is a commutative ring. |
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| Keywords: | linear preserver triangular matrix module commutative rings |
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