保体上上三角幂等矩阵的诱导映射Induced maps preserving upper triangular idempotent matrices over skew fields
张隽;付丽;曹重光;
摘要(Abstract)：
假设T_m(D)是体D上所有上三角m×m矩阵的集合.首先分别给出诱导映射和保幂等性的定义.然后为了刻画T_m(D)的保幂等的诱导映射,提出类序列的概念,同时描述类序列的性质.最后,使用矩阵技术和初等方法,借助于分类讨论得到了T_m(D)的保幂等的诱导映射的一般形式并且给出了某些例子,用以解释某些结果之间的关系.
关键词(KeyWords)： 体;上三角矩阵;保幂等;诱导映射
基金项目(Foundation): 国家自然科学基金(11371109)
作者(Authors): 张隽;付丽;曹重光;
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