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研究生： 應志偉
Ying Zhi Wei
論文名稱： The relation between maximal prime divisors and maximal members of Krull associated primes.
The relation between maximal prime divisors and maximal members of Krull associated primes.
指導教授： 劉容真
學位類別： 碩士
Master
系所名稱： 數學系
Department of Mathematics
論文出版年： 2004
畢業學年度： 92
語文別： 英文
論文頁數： 46
中文關鍵詞： MPD(A) 、MxK(A)
論文種類： 學術論文
相關次數： 點閱：139  下載：9 
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    • 第一節：介紹動機以及相關的環所具有的性質
    第二節：介紹特殊的質理想的定義以及相關的性質
    第三節：在不同的條件下討論集合Kru(A)
    第四節：討論理想A的獨立P成份的相關性質
    第五節：討論分離性的等價條件，進而引導出MxK(A)和MPD(A)的關係
    第六節：討論自同態E(X)和局部化可交換的條件
    第七節：利用第六節的結果導出本篇論文的主要定理

    Introduction........................................1 1.Maximal prime divisors............................3 2.Krull associated primes...........................6 3.The set Kru(A)...................................13 4.Isolated P-component.............................18 5.Separation property..............................20 6.E(X) commutes with localization..................29 7.The case MxK(A)=MPD(A) in arithmetical rings.....43

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