Absence of torsion for NK₁(R) over associative rings

2010/01/04 by Rabeya Basu, Basu, Rabeya
Mathematics · #13H99 #15A24 #16R50 #19B14 #Commutative Algebra (math.AC) #FOS: Mathematics #K-Theory and Homology (math.KT) #math.AC #math.KT #msc:13H99 #msc:15A24 #msc:16R50 #msc:19B14

paper · pdf · doi:10.48550/arxiv.1001.0489

6 pages

arxiv created 2010/01/04 · arxiv updated 2010/01/14

Abstract

When R is a commutative ring with identity, and if k is a natural number with kR = R, then C. Weibel proved that SK₁(R[X]) has no k-torsion. We reprove his result for any associative ring R with identity in which kR = R.

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