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 |
Noether环上加性秩函数对应的Gabriel拓扑与相应商环的构造 |
The Construction of the Gabriel Topologies Arising from any Additive Rank Function and the Corresponding Quotient Rings for any Right Noetherian Semiprime Ring |
投稿时间:1996-12-02 |
DOI:10.3770/j.issn:1000-341X.2000.01.020 |
中文关键词: Noether环 加性秩函数 Gabriel拓扑 商环 |
英文关键词:Noetherian rings additive rank functions Gabriel filters quotient rings. |
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中文摘要: |
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. |
英文摘要: |
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. |
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