Witt’s cancellation theorem seen as a cancellation
Copyright policy )Witt’s cancellation theorem seen as a cancellation
The year 2017 marks the 80th anniversary of Witt's famous paper containing 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 and 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.
14 pages.We made some updates and changes in the exposition. This article will appear in Expositiones Mathematicae
- Western University Canada
- Illinois State University United States
- Norwich University United States
Mathematics - Number Theory, Mathematics - History and Overview, History and Overview (math.HO), 11E040, 11E81, Mathematics - Commutative Algebra, Commutative Algebra (math.AC), quadratic forms, Witt rings, Higher symbols, Milnor \(K\)-theory, FOS: Mathematics, Milnor \(K\)-theory, Number Theory (math.NT), Algebraic theory of quadratic forms; Witt groups and rings
Mathematics - Number Theory, Mathematics - History and Overview, History and Overview (math.HO), 11E040, 11E81, Mathematics - Commutative Algebra, Commutative Algebra (math.AC), quadratic forms, Witt rings, Higher symbols, Milnor \(K\)-theory, FOS: Mathematics, Milnor \(K\)-theory, Number Theory (math.NT), Algebraic theory of quadratic forms; Witt groups and rings
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