Faithfully quadratic rings

DOI10.1090/memo/1128zbMath1328.11003OpenAlexW2171955561MaRDI QIDQ2944979

Francisco Miraglia, Max A. Dickmann

Publication date: 9 September 2015

Published in: Memoirs of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/f88767854e2bcbf70a749d27b7fd04ba98da0c1e

zbMATH Keywords

special groups\(f\)-ringsalgebraic theory of quadratic formspreordered ringsalgebras of continuous real-valued functionsArchimedean preorders with bounded inversionK-theory of ringsreal spectra of rings

Mathematics Subject Classification ID

(K)-theory of quadratic and Hermitian forms (11E70) Algebraic theory of quadratic forms; Witt groups and rings (11E81) Fields related with sums of squares (formally real fields, Pythagorean fields, etc.) (12D15) Research exposition (monographs, survey articles) pertaining to number theory (11-02) Boolean algebras (Boolean rings) (06E99) Algebraic properties of function spaces in general topology (54C40) Rings and algebras of continuous, differentiable or analytic functions (46E25) Models of other mathematical theories (03C65)

Related Items (6)

K-theories and Free Inductive Graded Rings in Abstract Quadratic Forms Theories ⋮ Special groups and quadratic forms over rings with non-zero-divisor coefficients ⋮ Constructions in the category of real semigroups ⋮ Unnamed Item ⋮ Functorial relationships between multirings and the various abstract theories of quadratic forms ⋮ Fans in the theory of real semigroups

Cites Work

• Representation of real commutative rings
• Normal spectral spaces and their dimensions
• Zum Darstellungssatz von Kadison-Dubois
• Homologie du groupe linéaire et K-théorie de Milnor des anneaux. (Homology of the linear group and Milnor's K-theory of rings)
• Signatures of higher level on rings with many units
• Model theory.
• Groupes et anneaux reticules
• Integral solution of Hilbert's seventeenth problem
• On quadratic forms whose total signature is zero mod \(2^n\). Solution to a problem of M. Marshall
• Bounds for the representation of quadratic forms.
• Convexity, valuations and Prüfer extensions in real algebra
• Semi-algebraic function rings and reflectors of partially ordered rings
• Spaces of orderings and abstract real spectra
• Anneaux preordonnes
• Quadratic form theory over preordered von Neumann-regular rings
• Algebraic \(K\)-theory of special groups
• Super real closed rings
• The basic theory of real closed spaces
• Lattice-ordered Rings and Modules
• On the real spectrum of a ring and its application to semialgebraic geometry
• Projective Modules Over Rings with Many Units
• Special groups: Boolean-theoretic methods in the theory of quadratic forms
• Elementary properties of the Boolean hull and reduced quotient functors
• On the absence of uniform denominators in Hilbert’s 17th problem
• Some applications of infinitely long formulas
• Signatures on semilocal rings
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