Hermitian forms over ordered *-fields
From MaRDI portal
Publication:1293105
DOI10.1006/jabr.1998.7774zbMath0933.11020OpenAlexW2010423296MaRDI QIDQ1293105
Thomas C. Craven, Tara L. Smith
Publication date: 5 October 1999
Published in: Journal of Algebra (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1006/jabr.1998.7774
Infinite-dimensional and general division rings (16K40) Algebraic theory of quadratic forms; Witt groups and rings (11E81) Bilinear and Hermitian forms (11E39) Skew fields, division rings (12E15)
Related Items (6)
Valuation theory of higher level *-signatures ⋮ Free skew fields have many *-orderings. ⋮ Geometry ofn × n(n ≥ 3) Hermitian Matrices Over Any Division Ring with an Involution and Its Applications ⋮ Pythagorean \(*\)-fields ⋮ Abstract theory of semiorderings ⋮ Geometry of 2×2 Hermitian matrices II
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Lectures on formally real fields
- Baer orderings with noninvariant valuation ring
- Orderings and valuations on *-fields
- Strong ordering of *-fields
- Succinct and representational Witt rings
- On finite generation of unit groups of commutative group rings
- Witt groups of Hermitian forms over \(\ast\)-fields
- Superpythagorean fields
- Orderings and square roots in \(^*\)-fields
- Characterizing reduced Witt rings of fields
- Weak \(*\)-orderings on \(*\)-fields
- Strong approximation property for Baer orderings on \(*\)-fields
- Spaces of orderings and abstract real spectra
- Weakly *-ordered *-fields
- Signatures on semilocal rings
- Forms over rings with involution
- Approximation Properties for Orderings on ∗ -Fields
- Places on ∗- fields and the real holomorphy ring
- A Note on Hermitian and Quadratic Forms
- ∗ -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
- On the Structure of Unitary Groups
- On the Structure of Unitary Groups (II)
This page was built for publication: Hermitian forms over ordered *-fields