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Some model-theoretic results in the algebraic theory of quadratic forms

✍ Scribed by Vincent Astier

Publisher: Elsevier Science
Year: 2001
Tongue: English
Weight: 268 KB
Volume: 112
Category: Article
ISSN: 0168-0072
DOI: 10.1016/s0168-0072(01)00029-x

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✦ Synopsis

This paper studies some model-theoretic properties of special groups of ÿnite type. Special groups are a ÿrst-order axiomatization of the algebraic theory of quadratic forms, introduced by Dickmann and Miraglia, which is essentially equivalent to abstract Witt rings.

More precisely, we consider elementary equivalence, saturation, elementary embeddings, quantiÿer elimination, stability and Morley rank.

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