科教文汇
科教文彙
과교문회
The Science Education Article Cultures
2015年
34期
45-46,78
,共3页
Jordan标准形%主理想整环%非忠实模
Jordan標準形%主理想整環%非忠實模
Jordan표준형%주이상정배%비충실모
Jordan canonical form%principle idea domain%non-faithful module
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。
近年來無線維代數和無限維錶示理論的研究逐漸成為代數研究的熱點。從教學實踐上來講，在高等代數課程教學中註意相關結論的證明方法對學生理清哪些結論併不完全依賴于嚮量空間是有限維這一條件是很有幫助的。本文從Jordan標準形的證明處理方法齣髮，做瞭一點嘗試。
근년래무선유대수화무한유표시이론적연구축점성위대수연구적열점。종교학실천상래강，재고등대수과정교학중주의상관결론적증명방법대학생리청나사결론병불완전의뢰우향량공간시유한유저일조건시흔유방조적。본문종Jordan표준형적증명처리방법출발，주료일점상시。
The infinite dimensional algebras and the infinite di-mensional representation theory have become one of the most at-tractive areas in algebraic research in recent years. From the as-pect 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.
