Generic construction of non-cyclic division algebras

DOI10.1016/0022-4049(72)90017-5zbMath0239.16008OpenAlexW2021218226MaRDI QIDQ2553486

Willem Kuyk

Publication date: 1972

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-4049(72)90017-5

Mathematics Subject Classification ID

Algebraic field extensions (12F05) Division rings and semisimple Artin rings (16Kxx)

Related Items (9)

Cyclic and elementary abelian subfields of Malcev-Neumann division algebras ⋮ Produits croisés mixtes: extensions de groupes et extensions d'anneaux ⋮ Nondegenerate Semiramified Valued and Graded Division Algebras ⋮ Produits croises Abeliens ⋮ Unnamed Item ⋮ On the non-existence of cyclic splitting fields for division algebras ⋮ Non-cyclic division algebras ⋮ Noncyclic division algebras ⋮ The trace form of a central simple algebra of degree 4.

Cites Work

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• New results on associative division algebras
• Extensions de corps hilberteins
• Non-Cyclic Algebras of Degree and Exponent Four
• On associative division algebras
• Non-cyclic algebras with pure maximal subfields

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