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Witt equivalence of semilocal Dedekind domains in global fields
Authors:B Rothkegel  A Czogała
Institution:1. Institute of Mathematics, Silesian University, Bankowa 14, 40-007, Katowice, Poland
Abstract:We examine a condition for two semilocal Dedekind rings, the fields of fractions of which are global fields, to be Witt equivalent. To solve the problem we generalize the notion of a Hilbert-symbol equivalence introduced in 11] and prove that a Witt equivalence is equivalent to a Hilbert-symbol equivalence. As a result we describe a Witt equivalence in terms of field invariants.
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