Milnor-Witt K-theory and Tensor Powers of the Augmentation Ideal of (Z)[F×]

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  Let F be a field of characteristic not equal to 2.We describe the relation between the non-negative dimensional Milnor-Witt K-theory of F and the tensor algebra over the group ring Z[F×] of the augmentation ideal ΙF×.In the process, we clarify the structure of the additive group K1MW (F), in particular giving a simple presentation.
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