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Bachmann, Tom (2018): Some remarks on units in Grothendieck-Witt rings. In: Journal of Algebra, Vol. 499: pp. 229-271
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We establish new structures on Grothendieck-Witt rings, including a GW (k)-module structure on the unit group GW(k)(x) and a presentation of (GW) under bar (x) as an infinite G(m)-loop sheaf. Even though our constructions are motivated by speculations in stable A(1)-homotopy theory, our arguments are purely algebraic.