Please use this identifier to cite or link to this item: http://dr.iiserpune.ac.in:8080/xmlui/handle/123456789/1848
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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