Valuations and higher level orders in commutative rings

DOI10.1016/S0021-8693(05)80002-XzbMath0845.11016MaRDI QIDQ1891489

Victoria Powers

Publication date: 11 September 1996

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

zbMATH Keywords

valuationsspace of signaturescompatibilityreduced Witt ringcommutative ringsManis valuations\(T\)-formsdependent valuationshigher level ordershigher level preorders

Mathematics Subject Classification ID

Algebraic theory of quadratic forms; Witt groups and rings (11E81) Valuations and their generalizations for commutative rings (13A18) Other algebras and orders, and their zeta and (L)-functions (11R54)

Related Items (2)

On real closed rings of higher level ⋮ Compatibility of quasi-orderings and valuations: a Baer-Krull theorem for quasi-ordered rings

Cites Work

• The Witt ring of a space of signatures
• Reduced forms and reduced Witt rings of higher level
• Characterizing reduced Witt rings of higher level
• Signatures of higher level on rings with many units
• Orderings and real places on commutative rings
• The intersection theorem for orderings of higher level in rings
• Lotschnittebenen mit halbierbarem rechtem Winkel
• An abstract approach to higher level forms and rigidity
• Partial orders on a field and valuation rings
• An Approximation Theorem for Coarse V-Topologies on Rings
• Valuations and real places in the theory of formally real fields
• Valuations on a Commutative Ring
• Valuations and Prufer Rings
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