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Title: | Absence of torsion for NK_1(R) over associative rings |
Authors: | BASU, RABEYA Dept. of Mathematics |
Keywords: | Linear group K1 NK1 SK1 torsion Witt vectors 2011 |
Issue Date: | Jul-2011 |
Publisher: | World Scientific Publishing |
Citation: | Journal of Algebra and Its Applications, 10(4), 793-799. |
Abstract: | When R is a commutative ring with identity, and if k ∈ ℕ, with kR = R, then it was shown in [C. Weibel, Mayer–Vietoris Sequence and Module Structure on NK0, Lecture Notes in Mathematics, Vol. 854 (Springer, 1981), pp. 466–498] that SK1(R[X]) has no k-torsion. We prove this result for any associative ring R with identity in which kR = R. |
URI: | http://dr.iiserpune.ac.in:8080/xmlui/handle/123456789/1848 https://doi.org/10.1142/S0219498811004951 |
ISSN: | 0219-4988 1793-6829 |
Appears in Collections: | JOURNAL ARTICLES |
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