Special groups Boolean-theoretic methods in the theory of quadratic forms M.A. Dickmann, F. Miraglia. Memoirs of the American Mathematical Society 689.

Dickmann, Max:

ISBN 10: 0821820575 / ISBN 13: 9780821820575

Published by Providence R. I., American Mathematical Society, 2000

About this Item

Ex-library with stamp and library-signature. GOOD condition, some traces of use. Ancien Exemplaire de bibliothèque avec signature et cachet. BON état, quelques traces d'usure. Ehem. Bibliotheksexemplar mit Signatur und Stempel. GUTER Zustand, ein paar Gebrauchsspuren. 06 DIC 9780821820575 Sprache: Englisch Gewicht in Gramm: 550.

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Bibliographic Details

• Title: Special groups Boolean-theoretic methods in the theory of quadratic forms M.A. Dickmann, F. Miraglia. Memoirs of the American Mathematical Society 689.
• Publisher: Providence R. I., American Mathematical Society
• Publication Date: 2000
• Language: English
• ISBN 10: 0821820575
• ISBN 13: 9780821820575
• Binding: Softcover
• Weight: 550 grams
• Seller catalogs:
  • SA MATHEMATIK

About this title

Synopsis

This monograph presents a systematic study of Special Groups, a first-order universal-existential axiomatization of the theory of quadratic forms, which comprises the usual theory over fields of characteristic different from 2, and is dual to the theory of abstract order spaces. The heart of our theory begins in Chapter 4 with the result that Boolean algebras have a natural structure of reduced special group. More deeply, every such group is canonically and functorially embedded in a certain Boolean algebra, its Boolean hull. This hull contains a wealth of information about the structure of the given special group, and much of the later work consists in unveiling it. Thus, in Chapter 7 the authors introduce two series of invariants living in the Boolean hull, which characterize the isometry of forms in any reduced special group.