Noether's Theorem for Hopf Orders in Group Algebras

DOI10.2307/2154641zbMath0803.16041OpenAlexW4251201189MaRDI QIDQ4292717

David M. Weinraub

Publication date: 5 June 1994

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/2154641

zbMATH Keywords

Galois extensionsnumber fieldsNoether theoremGrothendieck ringFrobenius reciprocitytame extensionsnormal basis theoremlocal normal basesessential \(KG\)- modulesHopf algebra modulesnoncommutative Hopf algebrasprojective \(RG\)-modulesSwan triangle

Mathematics Subject Classification ID

Group rings (16S34) Group rings of finite groups and their modules (group-theoretic aspects) (20C05) Separable algebras (e.g., quaternion algebras, Azumaya algebras, etc.) (16H05) (K_1) of group rings and orders (19B28) Other algebras and orders, and their zeta and (L)-functions (11R54)

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