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math.RA2014
Witt's Extension Theorem for Quadratic Spaces over Semiperfect Rings
Uriya A. First
We prove that every isometry of between (not-necessarily orthogonal) summands of a unimodular quadratic space over a semiperfect ring can be extended an isometry of the whole quadr…
math.RA2014★ 1 cited
An Elementary Proof That Rationally Isometric Quadratic Forms Are Isometric
Uriya A. First
Let be a valuation ring with fraction field and . We give an elementary proof of the following known result: Two unimodular quadratic forms over are isom…