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

DOI10.2307/2374320zbMath0523.13005OpenAlexW2320031820MaRDI QIDQ3674787

Moss Eisenberg Sweedler, Darrell E. Haile, Richard Gustavus Larson

Publication date: 1983

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

Full work available at URL: https://doi.org/10.2307/2374320

zbMATH Keywords

crossed product Brauer group Amitsur cohomology Galois cohomology theory

Mathematics Subject Classification ID

(Co)homology of rings and associative algebras (e.g., Hochschild, cyclic, dihedral, etc.) (16E40) Galois cohomology (12G05) (Co)homology of commutative rings and algebras (e.g., Hochschild, André-Quillen, cyclic, dihedral, etc.) (13D03) Brauer groups of schemes (14F22) Galois theory and commutative ring extensions (13B05)

Related Items (19)

Crossed-products orders over discrete valuation rings ⋮ Algebras associated with LSGOP ⋮ The Brauer monoid ⋮ 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. ⋮ On crossed product algebras arising from weak cocycles ⋮ EMBEDDING WEAK 2-COCYCLE CROSSED PRODUCTS INTO MATRIX RINGS ⋮ Cohomology monoids of monoids with coefficients in semimodules. I ⋮ Crossed product algebras defined by separable extensions. ⋮ On weak crossed products, Frobenius algebras, and the weak Bruhat ordering. ⋮ 0-Cohomology of Semigroups ⋮ The Brauer group of Azumaya corings and the second cohomology group. ⋮ Weak galois cohomology and group extensions ⋮ Specialization of Crossed Products ⋮ Constructing the hereditary crossed product order containing a given weak crossed product order and a criterion for weakness ⋮ \(K\)-automorphisms of a weak-crossed product \(F\)-algebra over a Galois extension \(K/F\) ⋮ Weakly Azumaya algebras

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