Witt's Cancellation theorem seen as a cancellation

Details Witt's Cancellation theorem seen as a cancellation Witt's Cancellation theorem seen as a cancellation

2011-06-14

arxiv.org/abs/1106.2595v2

Mathematics

Number Theory

Fixed some typos and made changes to improve the exposition based on comments received from our colleagues

Scientific paper

Happy birthday to the Witt ring! The year 2012 marks the 75th anniversary of Witt's famous paper containing some key results, including the Witt cancellation theorem, which form the foundation for the algebraic theory of quadratic forms. We pay homage to this paper by presenting a transparent, algebraic proof of the Witt cancellation theorem, which itself is based on a cancellation. We also present an overview of some recent spectacular work which is still building on Witt's original creation of the algebraic theory of quadratic forms.

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