Primary ideals in Witt rings

DOI10.1016/0021-8693(85)90015-8zbMath0574.10028OpenAlexW1974243675MaRDI QIDQ1063624

Robert W. Fitzgerald

Publication date: 1985

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

Full work available at URL: https://doi.org/10.1016/0021-8693(85)90015-8

zbMATH Keywords

Witt ringsymmetric bilinear formsformally real fieldsprimary idealsprimary decompositionnumber of orderingsSylvester signatures

Mathematics Subject Classification ID

Quadratic forms over general fields (11E04) Fields related with sums of squares (formally real fields, Pythagorean fields, etc.) (12D15) Structure, classification theorems for modules and ideals in commutative rings (13C05) General binary quadratic forms (11E16) Forms over real fields (11E10)

Related Items (4)

Picard groups of Witt rings ⋮ Ideal class groups of Witt rings ⋮ Quadratic Forms ⋮ Torsion-free modules over reduced Witt rings

Cites Work

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• Über Laskersche Ringe
• Pfister ideals in Witt rings
• Über die Pythagoraszahl eines Körpers
• On some uniqueness questions in primary representations of ideals
• Pfister forms and \(K\)-theory of fields
• Hasse principles and the u-invariant over formally real fields
• Quadratic Forms of Height Two
• 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

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