Erratum: Correction to `Relative Milnor \(K\)-theory' (Q1904359)

From MaRDI portal





scientific article; zbMATH DE number 827888
Language Label Description Also known as
English
Erratum: Correction to `Relative Milnor \(K\)-theory'
scientific article; zbMATH DE number 827888

    Statements

    Erratum: Correction to `Relative Milnor \(K\)-theory' (English)
    0 references
    0 references
    28 April 1996
    0 references
    Recently, \textit{S. Bloch} pointed out an error in ``Relative Milnor \(K\)- theory'' [ibid. 6, No. 2, 113-175 (1992; Zbl 0780.19005)], which it is the purpose of this note to correct. The error occurred in the proof of Theorem 4.5, in which it was claimed that, under certain hypotheses, the \(n\)-fold double \(D_{R; I_1, \dots, I_n}\) is a \(K_1\)-regular ring. We now give a correct proof of this fact, under slightly different hypotheses than those originally stated.
    0 references
    relative Milnor \(K\)-theory
    0 references
    semilocal rings
    0 references
    generalized Kato conjecture
    0 references
    Quillen-Lichtenbaum conjecture
    0 references
    \(K_ 1\)-regular ring
    0 references
    0 references

    Identifiers

    0 references
    0 references
    0 references
    0 references
    0 references
    0 references
    0 references