On K2-group of a Formal Matrix Ring

On K2-group of a Formal Matrix Ring

Let S be a formal matrix ring, T the subring consisting of all diagonal elements, I the set consisting of all off-diagonal elements. Then I is a split radical ideal under certain conditions. In this paper, we show that K2（S）≈ K2（T） G K2（S, I）, and a presentation of K2（S, I） is given....

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Veröffentlicht in:Acta mathematica Sinica. English series 2012, Vol.28 (9), p.1897-1906
Hauptverfasser: Fan, Zi Qiang, Yin, Zhi Xiang
Format: Artikel
Sprache:eng
Schlagworte:
Mathematics
Mathematics and Statistics
元素组成
分裂
子环
对角线
演示
理想
矩阵环
集合
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Zusammenfassung:Let S be a formal matrix ring, T the subring consisting of all diagonal elements, I the set consisting of all off-diagonal elements. Then I is a split radical ideal under certain conditions. In this paper, we show that K2（S）≈ K2（T） G K2（S, I）, and a presentation of K2（S, I） is given.
ISSN:1439-8516
1439-7617
DOI:10.1007/s10114-012-9466-y