Hilbert's Theorem 90 for Hopf Galois Extensions

DOI10.1080/00927870600876029zbMath1135.16047OpenAlexW2132811513MaRDI QIDQ3422836

Dragoş Ştefan, Pascual Jara, Luis M. Merino

Publication date: 14 February 2007

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

Full work available at URL: https://doi.org/10.1080/00927870600876029

zbMATH Keywords

comodule algebrascohomologydescent theoryHopf modulesfinite-dimensional Hopf algebrasdescent datafaithfully flat Galois extensionsHilbert Theorem 90

Mathematics Subject Classification ID

(Co)homology of rings and associative algebras (e.g., Hochschild, cyclic, dihedral, etc.) (16E40)

Cites Work

• Principal homogeneous spaces for arbitrary Hopf algebras
• Hopf Galois extensions, smash products, and Morita equivalence
• Noncommutative descent and non-abelian cohomology
• Descent theory and Amitsur cohomology of triples.

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