Witt groups of Hermitian forms over \(\ast\)-fields
From MaRDI portal
Publication:1186762
DOI10.1016/0021-8693(92)90255-KzbMath0752.11017MaRDI QIDQ1186762
Publication date: 28 June 1992
Published in: Journal of Algebra (Search for Journal in Brave)
Hermitian formsinvolutionpreorderingWitt groupreduced Witt ring\(\ast\)-field\(\ast\)-orderings\(\ast\)-valuations
Algebraic theory of quadratic forms; Witt groups and rings (11E81) Bilinear and Hermitian forms (11E39) Skew fields, division rings (12E15)
Related Items (13)
Valuation theory of higher level *-signatures ⋮ Weakly *-ordered *-fields ⋮ Free skew fields have many *-orderings. ⋮ Places on ∗- fields and the real holomorphy ring ⋮ Extension of orderings on *-fields ⋮ Characterization of fans in *-fields ⋮ Pythagorean \(*\)-fields ⋮ Abstract theory of semiorderings ⋮ Ordered \(*\)-rings ⋮ *-Orderings on a ring with involution ⋮ A Variant of Higher Product Levels of Integral Domains and *-Domains ⋮ Hermitian forms over ordered *-fields ⋮ *-orderings and *-valuations on algebras of finite Gelfand-Kirillov dimension.
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Reduced forms and reduced Witt rings of higher level
- Orderings and valuations on *-fields
- Strong ordering of *-fields
- An example of division rings with involution
- Succinct and representational Witt rings
- Witt rings and orderings of skew fields
- Generalization of a theorem of Artin-Pfister to arbitrary semilocal rings, and related topics
- Orderings and square roots in \(^*\)-fields
- Signatures on semilocal rings
- Approximation Properties for Orderings on ∗ -Fields
- The Witt Ring of a Space of Ordering
- ∗ -Valuations and Ordered ∗ -Fields
- Signatures and Semi Signatures of Abstract Witt Rings and Witt Rings of Semilocal Rings
- Structure of Witt Rings and Quotients of Abelian Group Rings
This page was built for publication: Witt groups of Hermitian forms over \(\ast\)-fields
