The Brauer monoid of a field

DOI10.1016/0021-8693(83)90201-6zbMath0517.16005OpenAlexW1972446279MaRDI QIDQ1053083

Darrell E. Haile

Publication date: 1983

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-8693(83)90201-6

zbMATH Keywords

central simple algebrasBrauer groupcrossed product algebrasBrauer monoidseparable closurefinite Galois extensionscohomology monoidsGalois two-cocyclesinertial subgroupstrongly primary algebrasWaterhouse idempotent

Mathematics Subject Classification ID

Finite rings and finite-dimensional associative algebras (16P10) (Co)homology of rings and associative algebras (e.g., Hochschild, cyclic, dihedral, etc.) (16E40) Automorphisms and endomorphisms (16W20) Galois cohomology (12G05) Separable algebras (e.g., quaternion algebras, Azumaya algebras, etc.) (16H05) Division rings and semisimple Artin rings (16Kxx)

Related Items (8)

Cohomology monoids of monoids with coefficients in semimodules. II ⋮ Locally finite central simple algebras ⋮ EMBEDDING WEAK 2-COCYCLE CROSSED PRODUCTS INTO MATRIX RINGS ⋮ Cohomology monoids of monoids with coefficients in semimodules. I ⋮ 0-Cohomology of Semigroups ⋮ Weak galois cohomology and group extensions ⋮ \(K\)-automorphisms of a weak-crossed product \(F\)-algebra over a Galois extension \(K/F\) ⋮ Weakly Azumaya algebras

Cites Work

• Unnamed Item
• On crossed product algebras arising from weak cocycles
• Multiplication alteration by two-cocycles
• A non-criterion for central simple algebras
• Cohomology and Galois Theory. I. Normality of Algebras and Teichmuller's Cocycle

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