Cyclic division algebras

DOI10.1007/BF02771722zbMath0492.16021OpenAlexW2008383160MaRDI QIDQ1167795

Louis Halle Rowen

Publication date: 1982

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

Full work available at URL: https://doi.org/10.1007/bf02771722

zbMATH Keywords

noncrossed productscyclic division algebracentral subalgebrasdivision algebras of prime exponent

Mathematics Subject Classification ID

Finite rings and finite-dimensional associative algebras (16P10) Structure and classification for modules, bimodules and ideals (except as in 16Gxx), direct sum decomposition and cancellation in associative algebras) (16D70) Division rings and semisimple Artin rings (16Kxx)

Related Items

Produits croisés mixtes: extensions de groupes et extensions d'anneaux, Unnamed Item, On the decomposition of cyclic algebras, Decomposability and embeddability of discretely Henselian division algebras, Associative rings, Open problems on central simple algebras., Prime to \(p\) extensions of division algebras, Power-Central Elements in Tensor Products of Symbol Algebras, Correction to Cyclic division algebras, Division algebras of exponent 2 and characteristic 2

Cites Work

• Division algebra counterexamples of degree 8
• Identities in algebras with involution
• PI-algebras. An introduction
• Cyclic algebras, complete fields, and crossed products
• Generic Abelian crossed products and \(p\)-algebras
• Central simple algebras
• On central division algebras
• Noncrossed Products of Small Exponent
• Indecomposable division algebras
• On the Fixed Field of a Linear Abelian Group
• Some results on the center of a ring with polynomial identity
• Division algebras of degree 4 and 8 with involution
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item