Absence of torsion for NK_1(R) over associative rings

Preprint English OPEN
Basu, Rabeya;
(2010)
  • Subject: 13H99, 15A24, 16R50, 19B14 | Mathematics - Commutative Algebra | Mathematics - K-Theory and Homology

When R is a commutative ring with identity, and if k is a natural number with kR = R, then C. Weibel proved that SK_1(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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