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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Bibliographic Details
Published inActa mathematica Sinica. English series Vol. 28; no. 9; pp. 1897 - 1906
Main Authors Fan, Zi Qiang, Yin, Zhi Xiang
Format Journal Article
LanguageEnglish
Published Heidelberg Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society 2012
Subjects
Mathematics
Mathematics and Statistics
元素组成
分裂
子环
对角线
演示
理想
矩阵环
集合
19C40
19C20
extension of groups
group
relative
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Summary: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.
Bibliography: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.
11-2039/O1
K2 group, relative K2 group, extension of groups
ISSN:1439-8516
1439-7617
DOI:10.1007/s10114-012-9466-y