Tameness and Local Normal Bases for Objects of Finite Hopf Algebras

DOI10.2307/2000648zbMath0609.16005OpenAlexW4256571455MaRDI QIDQ3749186

Susan Hurley, Lindsay N. Childs

Publication date: 1986

Full work available at URL: https://doi.org/10.2307/2000648

zbMATH Keywords

tracegroup algebraHopf algebralocalizationsfinite Galois extensiondual Hopf algebracounitGalois H-objectfinitely generated, projective R-moduleH- objectlocal normal basesright H-comodule

Mathematics Subject Classification ID

Ramification and extension theory (11S15) Ramification problems in algebraic geometry (14E22) Separable algebras (e.g., quaternion algebras, Azumaya algebras, etc.) (16H05) Algebras and orders, and their zeta functions (11S45) Galois theory and commutative ring extensions (13B05)

Related Items

Monogenic Hopf orders and associated orders of valuation rings. ⋮ Tame and Galois extensions with respect to Hopf orders ⋮ Tame actions of group schemes: Integrals and slices ⋮ Lubin-Tate formal groups and module structure over Hopf orders ⋮ Taming Wild Extensions with Hopf Algebras ⋮ Tame realisable classes over Hopf orders ⋮ On the Monoid of Tame Extensions

Cites Work

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• Taming Wild Extensions with Hopf Algebras
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• Commutative Rings with Operators (Galois Theory and Ramification)
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