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Beware the phony multiplication on Quillen's $ \mathcal{A}^{-1}\mathcal{A}$

Author: R. W. Thomason
Journal: Proc. Amer. Math. Soc. 80 (1980), 569-573
MSC: Primary 18F25; Secondary 55N45, 55S99
MathSciNet review: 587929
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Abstract: This paper exposes a subtle but irreparable flaw in a frequently proposed construction of the graded ring structure on the algebraic K-groups of commutative rings.

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