The reduced theory of quadratic forms

DOI10.1216/RMJ-1981-11-2-161zbMath0452.10022OpenAlexW2081807583MaRDI QIDQ1148344

S. H. Smith

Publication date: 1981

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1216/rmj-1981-11-2-161

zbMATH Keywords

preordersadditive semigroupcomputation of equivalence classescomputation of set of valuesisotropic multiplelocal-global criteriaWitt ring of field

Mathematics Subject Classification ID

Quadratic forms over general fields (11E04) General binary quadratic forms (11E16)

Related Items (11)

A representation theorem for higher level reduced Witt rings ⋮ Algebraic K-theory of quadratic forms ⋮ Topological spaces as spaces of \(\mathbb R\)-places ⋮ The space of \(\mathbb{R}\)-places on a rational function field ⋮ Orderings and real places on commutative rings ⋮ Spaces of orderings: Systems of quadratic forms, local structure, and saturation ⋮ The space of real places on \(\mathbb{R}(x; y)\) ⋮ Reduced forms and reduced Witt rings of higher level ⋮ Metrizability of Spaces of ℝ-places of Function Fields of Transcendence Degree 1 Over Real Closed Fields ⋮ Orderings, real places, and valuations on noncommutative integral domains ⋮ The holomorphy rings of planar ternary rings with rational prime field

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