Quadratic form theory over preordered von Neumann-regular rings

DOI10.1016/j.jalgebra.2007.02.050zbMath1149.11021OpenAlexW2061880903WikidataQ122108882 ScholiaQ122108882MaRDI QIDQ2482075

Max A. Dickmann, Francisco Miraglia

Publication date: 16 April 2008

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2007.02.050

zbMATH Keywords

special groupsrings with many unitsMarshall's signature conjecturealgebraic \(K\)-theory of ringsalgebraic theory of quadratic formsMilnor's Witt ring conjecturepreordered ringsvon Neumann-regular rings

Mathematics Subject Classification ID

Grothendieck groups, (K)-theory, etc. (16E20) Algebraic theory of quadratic forms; Witt groups and rings (11E81) von Neumann regular rings and generalizations (associative algebraic aspects) (16E50)

Related Items (6)

Special groups and quadratic forms over rings with non-zero-divisor coefficients ⋮ Faithfully quadratic rings ⋮ The profinite hull of special groups and local-global principles ⋮ Constructions in the category of real semigroups ⋮ Unnamed Item ⋮ Functorial relationships between multirings and the various abstract theories of quadratic forms

Cites Work

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• Bounds for the representation of quadratic forms.
• Algebraic \(K\)-theory of special groups
• Sheaves of structures and generalized ultraproducts
• Special groups: Boolean-theoretic methods in the theory of quadratic forms
• Modules over commutative regular rings

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