| Noether环上加性秩函数对应的Gabriel拓扑与相应商环的构造 |
| |
| 引用本文： | 李劲松.Noether环上加性秩函数对应的Gabriel拓扑与相应商环的构造[J].数学研究及应用,2000,20(1):119-123. |
| |
| 作者姓名： | 李劲松 |
| |
| 作者单位： | 复旦大学数学研究所, 上海200433 |
| |
| 摘 要： | 本文利用［１］中建立的关系，给出了半素右Ｎｏｅｔｈｃｒ环上所有加性秩函数对应的Ｇａｂｒｉｅｌ拓朴与相应商环的构造，并建立了一般Ｎｏｅｔｈｅｒ环上加性秩函数与Ａｒｔｉｎ环上模范畴中的有限长之间的联系．
|
| 关 键 词： | Noether环 加性秩函数 Gabriel拓扑 商环 |
| 文章编号： | 1000-341(2000)01-0119-05 |
| 收稿时间： | 1996/12/2 0:00:00 |
| 修稿时间： | 1996年12月2日 |
The Construction of the Gabriel Topologies Arising from any Additive Rank Function and the Corresponding Quotient Rings for any Right Noetherian Semiprime Ring |
| |
| LI Jin -song.The Construction of the Gabriel Topologies Arising from any Additive Rank Function and the Corresponding Quotient Rings for any Right Noetherian Semiprime Ring[J].Journal of Mathematical Research with Applications,2000,20(1):119-123. |
| |
| Authors: | LI Jin -song |
| |
| Institution: | Inst. of Math.; Fudan University; Shanghai 200433 |
| |
| Abstract: | Using the corresponding relationship built by the method used in 1], we give the construction of the Gabriel topologies arising from any additive rank function and the con- struction of the corresponding quotient rings for any right noetherian semiprime ring. There- fore we establish the association between the additive rank function in noetherian rings and the finite length in the module category for an artinian ring. |
| |
| Keywords: | Noetherian rings additive rank functions Gabriel filters quotient rings |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
| 点击此处可从《数学研究及应用》浏览原始摘要信息 |
| 点击此处可从《数学研究及应用》下载免费的PDF全文 |
