The Boolean Space of Orderings of a Field
From MaRDI portal
Publication:4074992
DOI10.2307/1997381zbMath0315.12106OpenAlexW4243091962MaRDI QIDQ4074992
Publication date: 1975
Full work available at URL: https://doi.org/10.2307/1997381
Quadratic extensions (11R11) Fields related with sums of squares (formally real fields, Pythagorean fields, etc.) (12D15) Quadratic and bilinear forms, inner products (15A63) Structure theory of Boolean algebras (06E05) Ordered fields (12J15)
Related Items
Restriction map of spaces of orderings of fields, Recursion theory and ordered groups, Fields maximal with respect to a set of orderings, Degrees of orders on torsion-free abelian groups, The Boolean space of \({\mathbf R}\)-places, On the topological space of all orderings of a skew field, Topological spaces as spaces of \(\mathbb R\)-places, Witt rings and associated Boolean rings, Witt rings and almost free pro-2-groups, Geometry of hyperfields, Abstract theory of semiorderings, Elementary properties of the Boolean hull and reduced quotient functors, A construction of Boolean algebras from first-order structures, On the dimension of the space of \(\mathbb R\)-places of certain rational function fields, Number of connected components of a real variety and \(\mathbb{R}\)-places, Quadratic Forms, Characterizing reduced Witt rings of fields, Existence of SAP extension fields, Unnamed Item, Semiorderings and Witt rings, Quadratic forms and pro 2-groups. II: The Galois group of the Pythagorean closure of a formally real field, Real free groups and the absolute Galois group of \(R(t)\), Stability in Witt Rings, The Reduced Witt Ring of a Formally Real Field
Cites Work
- The topological space of orderings of a rational function field
- On some Hasse principles over formally real fields
- Signatures on semilocal rings
- The prime ideals of Witt rings
- Structure of Witt rings, quotients of abelian group rings and orderings of fields
- Structure of Witt Rings and Quotients of Abelian Group Rings
- Quadratic Forms Over Formally Real Fields and Pythagorean Fields
- Applications of the Theory of Boolean Rings to General Topology
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
