Kaplansky conjecture in the theory of quadratic forms
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- Merkur'ev, A.S. J Math Sci (1991) 57: 3489. doi:10.1007/BF01100118
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This article considers the splitting properties of finite-dimensional division rings over universal splitting fields of quadratic forms. An example of a field with u-invariant equal to 6 is constructed, which contradicts Kaplansky's conjecture concerning u-invariants.