Cyclic algebras, complete fields, and crossed products

DOI10.1007/BF02759787zbMath0366.16006MaRDI QIDQ1241787

Lawrence J. Risman

Publication date: 1977

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Mathematics Subject Classification ID

Separable extensions, Galois theory (12F10) Division rings and semisimple Artin rings (16Kxx)

Related Items

Cyclic and elementary abelian subfields of Malcev-Neumann division algebras ⋮ Produits croisés mixtes: extensions de groupes et extensions d'anneaux ⋮ Cyclic division algebras ⋮ Unnamed Item ⋮ Associative rings ⋮ Open problems on central simple algebras. ⋮ A New Construction of Noncrossed Product Algebras ⋮ Non-cyclic division algebras ⋮ Twisted rational functions and series ⋮ Kummer subfields of Malcev-Neumann division algebras

Cites Work

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• The generic division rings
• PI-algebras. An introduction
• Galois groups and division algebras
• Non-cyclic division algebras
• Subfields of division rings. I
• On central division algebras
• Noncrossed products in characteristic \(p\).
• On \(p\)-adic fields and rational division algebras
• On the Order and Degree of Solutions to Pure Equations
• The Brauer Group of an Amitsur Field
• On Normal Division Algebras of Index 5