Central simple algebras with involution viewed through centralizers
DOI10.1016/0021-8693(80)90024-1zbMath0429.16015OpenAlexW2083787625MaRDI QIDQ1137626
Publication date: 1980
Published in: Journal of Algebra (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0021-8693(80)90024-1
involutioncrossed productBrauer groupcentral simple algebraquadratic extensioncyclic algebratensor product of quaternion algebras
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) Rings with involution; Lie, Jordan and other nonassociative structures (16W10) Separable algebras (e.g., quaternion algebras, Azumaya algebras, etc.) (16H05) Division rings and semisimple Artin rings (16Kxx)
Related Items
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Identities in algebras with involution
- Generic Abelian crossed products and \(p\)-algebras
- Central simple algebras
- On central division algebras
- Involutorial simple algebras and real Riemann matrices
- A structure theory for Jordan algebras
- A construction of non-cyclic normal division algebras
- Shorter Notes: A Simple Proof of a Theorem of Albert
- Torsion algebraic cycles, 𝐾₂, and Brauer groups of function fields
- 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