Milnor–Witt K-groups of local rings
Copyright policy )Milnor–Witt K-groups of local rings
We introduce Milnor-Witt $K$-groups of local rings and show that the $n$th Milnor-Witt $K$-group of a local ring $R$ which contains an infinite field of characteristic not $2$ is the pull-back of the $n$th power of the fundamental ideal in the Witt ring of $R$ and the $n$th Milnor $K$-group of $R$ over the $n$th Milnor $K$-group of $R$ modulo $2$. This generalizes the work of Morel-Hopkins on Milnor-Witt $K$-groups of fields.
- University of Alberta Canada
Quadratic forms over global rings and fields, local rings, Mathematics - K-Theory and Homology, Milnor-Witt \(K\)-theory, FOS: Mathematics, K-Theory and Homology (math.KT), 11E81, 11E08, Algebraic theory of quadratic forms; Witt groups and rings, quadratic forms
Quadratic forms over global rings and fields, local rings, Mathematics - K-Theory and Homology, Milnor-Witt \(K\)-theory, FOS: Mathematics, K-Theory and Homology (math.KT), 11E81, 11E08, Algebraic theory of quadratic forms; Witt groups and rings, quadratic forms
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