Composition algebras over a ring of fractions

DOI10.1006/jabr.1996.6809zbMath0887.17003OpenAlexW1976995858MaRDI QIDQ1355631

Susanne Pumplün

Publication date: 27 May 1998

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

Full work available at URL: https://doi.org/10.1006/jabr.1996.6809

zbMATH Keywords

Picard groupring of fractionsoctonion algebrasCayley-Dickson doublingcomposition algebras without zero divisorsnonsplit quaternion algebra

Mathematics Subject Classification ID

Composition algebras (17A75)

Related Items (3)

Nonassociative quaternion algebras over rings ⋮ Composition algebras over rings of fractions revisited ⋮ Composition algebras over \(k[t,\sqrt{at^2+b}\)]

Cites Work

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• Nonassociative algebras with scalar involution
• Composition algebras and their automorphisms
• Composition algebras over a field with a discrete valuation
• Serre's conjecture
• Quadratic forms permitting composition
• Composition algebras over rings of genus zero
• Composition Algebras Over Algebraic Curves of Genus Zero

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