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On K 2-group of a formal matrix ring

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Abstract

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 K 2(s)≃K 2(T)⊕K 2(S, I), and a presentation of K 2(S, I) is given.

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Authors and Affiliations

  1. Department of Mathematics, Anhui University of Science and Technology, Huainan, 232001, P. R. China

    Zi Qiang Fan & Zhi Xiang Yin

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  1. Zi Qiang Fan
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  2. Zhi Xiang Yin
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Correspondence to Zi Qiang Fan.

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Supported by Natural Science Foundation of Anhui Department of Education (Grant No. KJ2008B240) and the second author is also supported by Natural Science Foundation of China (Grant No. 61170172)

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Fan, Z.Q., Yin, Z.X. On K 2-group of a formal matrix ring. Acta. Math. Sin.-English Ser. 28, 1897–1906 (2012). https://doi.org/10.1007/s10114-012-9466-y

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  • DOI: https://doi.org/10.1007/s10114-012-9466-y

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