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Bloch–Wigner theorem over rings with many units

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An Erratum to this article was published on 18 July 2013

Abstract

The Bloch–Wigner theorem over an algebraically closed field F determines a connection between the third homology of SL2(F) and the group describing the nontrivial relations on the tensors of the form \({{x\otimes(1-x) (x \in F^\times \backslash \{1\})}}\). The purpose of this article is to provide a version of this theorem over rings with large number of unites, for examples semi-local rings with infinite residue fields.

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Authors and Affiliations

  1. Department of Mathematics, Institute for Advanced Studies in Basic Sciences, P. O. Box 45195-1159, Zanjan, Iran

    Behrooz Mirzaii

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  1. Behrooz Mirzaii
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Correspondence to Behrooz Mirzaii.

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An erratum to this article is available at http://dx.doi.org/10.1007/s00209-013-1199-9.

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Mirzaii, B. Bloch–Wigner theorem over rings with many units. Math. Z. 268, 329–346 (2011). https://doi.org/10.1007/s00209-010-0674-9

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  • DOI: https://doi.org/10.1007/s00209-010-0674-9

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