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The relative \(K_ 2\) of truncated polynomial rings - MaRDI portal

The relative \(K_ 2\) of truncated polynomial rings (Q799741)

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scientific article; zbMATH DE number 3873469
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The relative \(K_ 2\) of truncated polynomial rings
scientific article; zbMATH DE number 3873469

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    The relative \(K_ 2\) of truncated polynomial rings (English)
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    1984
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    This paper computes the relative \(K_ 2\) of a truncated polynomial ring \(k[t]/(t^ q)\) relative to an ideal \((t^ n)\), when k is a perfect field. This is then used, as by \textit{J. Stienstra} in Algebraic K-theory, Proc. Conf., Evanston 1980, Lect. Notes Math. 854, 409-455 (1981; Zbl 0463.13007) to get lower bounds on \(K_ 3 (R[t]/(t^ n))\) where R is regular and essentially of finite type over k.
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    Dennis-Stein symbol
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    monomial
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    \(K_ 2\)
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    truncated polynomial ring
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    \(K_ 3\)
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