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On the Hasse principle for \(K_ 0\) of quadratic forms over commutative rings. (English) Zbl 0222.13016

MSC:
13D15 Grothendieck groups, \(K\)-theory and commutative rings
13F05 Dedekind, Prüfer, Krull and Mori rings and their generalizations
13G05 Integral domains
13C20 Class groups
13A15 Ideals and multiplicative ideal theory in commutative rings
11E12 Quadratic forms over global rings and fields
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