| 交换环的素谱空间的连通性 |
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| 引用本文： | 王江.交换环的素谱空间的连通性[J].山东师范大学学报(自然科学版),1989,4(2):16-22. |
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| 作者姓名： | 王江 |
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| 作者单位： | 山东师大数学系 |
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| 摘 要： | 本文中的环均指有单位元的交换环。本文在一定条件下对于J.R.Silvester提出的关于环的素谱空间连通与道路连通关系的问题给出了肯定的回答,并给出了极大理想或极小素理想个数有限的环的结构定理。
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| 关 键 词： | 交换环 素理想 素谱空间 连通 |
CONNECTNESS PROPERTY OF SPECTRUM SPACE OF COMMUTATIVE RINGS |
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| Wang Jiang.CONNECTNESS PROPERTY OF SPECTRUM SPACE OF COMMUTATIVE RINGS[J].Journal of Shandong Normal University(Natural Science),1989,4(2):16-22. |
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| Authors: | Wang Jiang |
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| Institution: | Department of Mathematics |
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| Abstract: | Rings considered in this paper are commutative rings with identities. We give an affirmative answer to J. R. Silvester's problem about connectness of spectrum space of ring under some conditions of ring. The constructure theorems of rings which have finite number of maximal ideals or minimal prime ideals are also presented. |
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| Keywords: | eommutative ring prime ideal prime spectrum space connectness path connectness |
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