publication . Article . Preprint . 2010

ABSENCE OF TORSION FOR NK1(R) OVER ASSOCIATIVE RINGS

Rabeya Basu;
Open Access
  • Published: 04 Jan 2010 Journal: Journal of Algebra and Its Applications, volume 10, pages 793-799 (issn: 0219-4988, eissn: 1793-6829, Copyright policy)
  • Publisher: World Scientific Pub Co Pte Lt
Abstract
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.
Subjects
free text keywords: Algebra and Number Theory, Applied Mathematics, Mathematics - K-Theory and Homology, Mathematics - Commutative Algebra, 13H99, 15A24, 16R50, 19B14, Combinatorics, Associative property, Commutative ring, Witt vector, Mathematics, Torsion (mechanics)

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