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arxiv: 1001.0489 · v1 · submitted 2010-01-04 · 🧮 math.KT · math.AC

Absence of torsion for NK₁(R) over associative rings

classification 🧮 math.KT math.AC
keywords associativeidentityringabsencecommutativek-torsionnaturalnumber
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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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