| Exchange环的K0群的正向凸子群格 |
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| 引用本文： | 黎奇升,佟文廷.Exchange环的K0群的正向凸子群格[J].数学进展,2004,33(2):236-242. |
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| 作者姓名： | 黎奇升 佟文廷 |
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| 作者单位： | 1. 吉首大学数学与计算机科学系,吉首,湖南,416000
2. 南京大学数学系,南京,江苏,210093 |
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| 基金项目： | Supported by NSFC(No.10071035)，the Natural Science Foundation of Hunan Province(No.01JJY2061)，Hunan Province Education Committee Fund |
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| 摘 要： | 本文证明了：(1)Exchange环R的K0群的正向凸子群格同构于R的稳定余有限半本原理想格；(2)稳定有限、半本原的exchange环R是单的当且仅当它是K0-单的并且满足逼近弱s^*—可比性，推广了Goodearl，Ara等人的结果。
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| 关 键 词： | Exchange环 K0群 正向凸子群格 Grothendieck群 逼近弱s^＊-可比性 |
Directed Convex Subgroup Lattice of K0 of Exchange Rings |
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| Abstract.Directed Convex Subgroup Lattice of K0 of Exchange Rings[J].Advances in Mathematics,2004,33(2):236-242. |
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| Authors: | Abstract |
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| Abstract: | In this paper, we show that for an exchange ring R, the directed convex subgroup lattice of K0(R) is isomorphic to the lattice of all stably co-finite and semiprimitive ideals of R; a stably finite and semiprimitive exchange ring is simple if and only if it is K0-simple and satisfies the approximate weak s*-comparability. These generalize the corresponding results of Goodearl, Ara et al.. |
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| Keywords: | exchange ring Grothendieck group directed convex subgroup state |
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