Diskriminanten und Picard-Invarianten freier quadratischer Erweiterungen

DOI10.1007/BF01174814zbMath0521.13001OpenAlexW2422697MaRDI QIDQ1055486

Rudolf Haggenmueller

Publication date: 1981

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/154809

zbMATH Keywords

discriminantfree extensionsPicard invariantextensions admitting a normal basisorder in real quadratic extensionquadratic extensions of commutative ring

Mathematics Subject Classification ID

Quadratic extensions (11R11) Quadratic forms over global rings and fields (11E12) Extension theory of commutative rings (13B02) Picard groups (14C22) Separable algebras (e.g., quaternion algebras, Azumaya algebras, etc.) (16H05) Galois theory and commutative ring extensions (13B05)

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Cites Work

• Diskriminanten von Galoiserweiterungen kommutativer Ringe
• The Picard invariant of a principal homogeneous space
• The group of quadratic extensions
• Normal bases for quadratic extensions
• On the free quadratic extensions of a commutative ring
• Clifford Algebras and Spinor Norms Over a Commutative Ring
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