Brauer Factor Sets and Simple Algebras

DOI10.2307/1999264zbMath0539.16016OpenAlexW4234582832MaRDI QIDQ3325877

Louis Halle Rowen

Publication date: 1984

Full work available at URL: https://doi.org/10.2307/1999264

zbMATH Keywords

transcendence degreecyclicityfinite-dimensional division algebraalgebra of generic matricesgeneric division algebra

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) Skew fields, division rings (12E15) Division rings and semisimple Artin rings (16Kxx)

Related Items

Galois cohomology of fields without roots of unity ⋮ Elements of reduced trace \(0\) ⋮ Cohomological invariants of algebras with involution ⋮ Normalized Brauer factor sets ⋮ Conditions satisfied by characteristic polynomials in fields and division algebras ⋮ On the notion of essential dimension for algebraic groups

Cites Work

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• On central division algebras
• The center of the ring of 3×3 generic matrices
• On p-Power Central Polynomials
• On Normal Division Algebras of Index 5