Jordan标准形教学的一点思考  

Some Ideas on the Teaching of Jordan Canonical Form

作　　者：吕仁才[1] 

机构地区：[1]苏州大学数学学院,江苏苏州215006

出　　处：《科教文汇》2015年第34期45-46,78,共3页Journal of Science and Education

摘　　要：近年来无线维代数和无限维表示理论的研究逐渐成为代数研究的热点。从教学实践上来讲,在高等代数课程教学中注意相关结论的证明方法对学生理清哪些结论并不完全依赖于向量空间是有限维这一条件是很有帮助的。本文从Jordan标准形的证明处理方法出发,做了一点尝试。The infinite dimensional algebras and the infinite dimensional representation theory have become one of the most attractive areas in algebraic research in recent years. From the aspect of teaching practice, it is helpful for students to clarify whether a result is dependent on the finite dimensional condition or not provided by the teacher might supply a nice way to state and prove it. In this paper, as an example, we give a new proof of the classical result of Jordan canonical form which also works for infinite dimensional case.

关 键 词：JORDAN标准形 主理想整环 非忠实模 

分 类 号：G642[文化科学—高等教育学]