Noether环上加性秩函数的分解

The Decomposition of Arbitrary Additive Rank Functionsin Noetherian Rings

中文关键词:  Noether环  加性秩函数  分解

英文关键词:Noetherian rings  additive rank functions  decomposition.

中文摘要:

      本文利用局部化的方法，由Ａｒｔｉｎ环上加性秩函数的分解形式决定了Ｎｏｅｔｈｅｒ环上所有加性秩函数的形式（与［１］相同），且在同一模范畴中刻画了原子秩函数的意义，得出一新的结论．

英文摘要:

      Using Localization we determine the same form of all additive rank functions innoetherian rings as [1] by decomposition of ally additive rank function in artinian rings. Theatomic rank functions are characterized in the same module category and a new conclusion isachieved.