On crossed product algebras arising from weak cocycles

DOI10.1016/0021-8693(82)90020-5zbMath0485.16004OpenAlexW2063949252MaRDI QIDQ1164114

Darrell E. Haile

Publication date: 1982

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

Full work available at URL: https://doi.org/10.1016/0021-8693(82)90020-5

zbMATH Keywords

treegraphcosetspartial orderingscrossed product algebrasidempotent cocycleweak cocycles

Mathematics Subject Classification ID

Automorphisms and endomorphisms (16W20) Separable algebras (e.g., quaternion algebras, Azumaya algebras, etc.) (16H05) Division rings and semisimple Artin rings (16Kxx)

Related Items (14)

Produits croisés mixtes: extensions de groupes et extensions d'anneaux ⋮ Construction of idempotent 2-cocycles ⋮ Cohomology monoids of monoids with coefficients in semimodules. II ⋮ Decomposition of idempotent 2-cocycles ⋮ Hereditary crossed product orders over discrete valuation rings. ⋮ EMBEDDING WEAK 2-COCYCLE CROSSED PRODUCTS INTO MATRIX RINGS ⋮ Cohomology monoids of monoids with coefficients in semimodules. I ⋮ On weak crossed products, Frobenius algebras, and the weak Bruhat ordering. ⋮ 0-Cohomology of Semigroups ⋮ Weak galois cohomology and group extensions ⋮ \(K\)-automorphisms of a weak-crossed product \(F\)-algebra over a Galois extension \(K/F\) ⋮ The Brauer monoid of a field ⋮ Skew group algebras in the representation theory of Artin algebras ⋮ Weakly Azumaya algebras

Cites Work

• On normal Azumaya algebras and the Teichmüller cocycle map
• A New Invariant for C Over R: Almost Invertible Cohomology Theory and the Classification of Idempotent Cohomology Classes and Algebras by Partially Ordered Sets with a Galois Group Action
• Cohomology and Galois Theory. I. Normality of Algebras and Teichmuller's Cocycle
• Cohomology of Group Extensions

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