منابع مشابه
Stability of Quadratic Modules
A finitely generated quadratic module or preordering in the real polynomial ring is called stable, if it admits a certain degree bound on the sums of squares in the representation of polynomials. Stability, first defined explicitly in [PS], is a very useful property. It often implies that the quadratic module is closed; furthermore it helps settling the Moment Problem, solves the Membership Pro...
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We construct new invariants of quadratic forms over commutative rings, using ideas from Topology. More precisely, we de ne a hermitian analog of the Bott class with target algebraic K-theory, based on the classi cation of Cli¤ord modules. These invariants of quadratic forms go beyond the classical invariants de ned via the Cli¤ord algebra. An appendix by J.-P. Serre, of independent interest, de...
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ژورنال
عنوان ژورنال: Journal of Algebra
سال: 2008
ISSN: 0021-8693
DOI: 10.1016/j.jalgebra.2007.12.015