Noncyclic division algebras

DOI10.1007/BF01214835zbMath0403.16019MaRDI QIDQ1256030

John Dauns

Publication date: 1979

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/172890

zbMATH Keywords

Division AlgebraCrossed Product Division RingGeneralized Quaternion AlgebraLaurent Series FieldNoncyclic Division Rings

Mathematics Subject Classification ID

Algebraic field extensions (12F05) Transcendental field extensions (12F20) Skew fields, division rings (12E15) Division rings and semisimple Artin rings (16Kxx)

Related Items

Generalized Skew Polynomial Rings ⋮ Unnamed Item ⋮ Associative rings

Cites Work

• Generic Abelian crossed products and \(p\)-algebras
• Noncrossed product p-algebras and Galois p-extensions
• Schiefkörper unendlichen Ranges über dem Zentrum
• New results on associative division algebras
• Generic construction of non-cyclic division algebras
• On central division algebras
• Noncrossed products in characteristic \(p\).
• On the Wedderburn norm condition for cyclic algebras
• A construction of non-cyclic normal division algebras
• Non-Cyclic Algebras of Degree and Exponent Four
• Non-cyclic algebras with pure maximal subfields