Signatures on semilocal rings

DOI10.1016/0021-8693(73)90021-5zbMath0273.13016OpenAlexW1996732259MaRDI QIDQ2264818

Roger Ware, A.F.T.W.Rosenberg, Manfred Knebusch

Publication date: 1973

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-8693(73)90021-5

Mathematics Subject Classification ID

Algebraic theory of quadratic forms; Witt groups and rings (11E81) Ordered fields (12J15) Local rings and semilocal rings (13H99) Quadratic forms over local rings and fields (11E08)

Related Items (38)

On Rolle fields, with examples ⋮ The Witt ring of a full ring ⋮ Orderings of higher level and semilocal rings ⋮ Unnamed Item ⋮ An application of Polya's theory of counting to an enumeration problem arising in quadratic form theory ⋮ Real closures of semilocal rings, and extension of real places ⋮ On the local theory of signatures and reduced quadratic forms ⋮ On the prime ideal of an ordering of higher level ⋮ Hasse principles and the u-invariant over formally real fields ⋮ The weak local global principle in algebraic k-theory ⋮ Witt rings and orderings of skew fields ⋮ Pythagorean \(*\)-fields ⋮ On the group of units of a QWitt ring. ⋮ Witt groups of Hermitian forms over \(\ast\)-fields ⋮ Witt rings and matroids ⋮ On the classification of quadratic forms over semilocal rings ⋮ Generalization of a theorem of Artin-Pfister to arbitrary semilocal rings, and related topics ⋮ Extending orderings on formally real fields ⋮ Quadratic Forms ⋮ On multiples of round and Pfister forms ⋮ Reduzierte quadratische Formen und Semiordnungen reeller Körper ⋮ Über die Beziehungen zwischen der Galoisgruppe und dem Raum der Anordnungen eines formal-reellen Körpers ⋮ Conservative quadratic forms ⋮ Characterizing reduced Witt rings of fields ⋮ The orthogonal group over a full ring ⋮ Existence of SAP extension fields ⋮ On the description of the reduced Witt ring ⋮ Pfister ideals in Witt rings ⋮ Level and Pythagoras number of some geometric rings ⋮ The Map of the Witt Ring of a Domain into the Witt Ring of its Field of Fractions ⋮ Reduced forms and reduced Witt rings of higher level ⋮ The Boolean Space of Orderings of a Field ⋮ A class of finite commutative rings constructed from Witt rings ⋮ Witt rings of LG-rings ⋮ Hermitian forms over ordered *-fields ⋮ Quadratic forms and pro 2-groups. II: The Galois group of the Pythagorean closure of a formally real field ⋮ Stability in Witt Rings ⋮ The Reduced Witt Ring of a Formally Real Field

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