Torsion-free modules over reduced Witt rings

DOI10.1006/jabr.1999.8374zbMath0961.11017OpenAlexW2092986355MaRDI QIDQ1585315

Robert W. Fitzgerald

Publication date: 24 May 2001

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

Full work available at URL: https://opensiuc.lib.siu.edu/math_articles/29

zbMATH Keywords

conductorWitt ringstability indexreduced Witt ringring-ordergenus class

Mathematics Subject Classification ID

Projective and free modules and ideals in commutative rings (13C10) Algebraic theory of quadratic forms; Witt groups and rings (11E81) Fields related with sums of squares (formally real fields, Pythagorean fields, etc.) (12D15) Class groups (13C20)

Cites Work

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• Cancellation over commutative rings of dimension one and two
• Picard groups of Witt rings
• Primary ideals in Witt rings
• Commutative orders whose lattices are direct sums of ideals
• Stable isomorphism of modules over one-dimensional rings
• Projective modules over Witt rings
• Rings of Integer-Valued Continuous Functions
• Quadratic Forms Over Formally Real Fields and Pythagorean Fields

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