Childs, Lindsay

Hopf algebras and Galois module theory - Providence : American Mathematical Society, 2021 - vii, 311 p. ; 26 cm ill., - Mathematical surveys and monographs v.260 .

Includes bibliographical references and index.

Hopf algebras have been shown to play a natural role in studying questions of integral module structure in extensions of local or global fields. This book surveys the state of the art in Hopf-Galois theory and Hopf-Galois module theory.

9781470465162


Galois modules
Algebra
Hopf algebras
Affine group:Bondarko diagram
Byott
Child's theorem
Featherstonhaugh's Theorem
Hall's Theorem
Isomorphic
K-algebra
Kohl's Theorem
Left regular representation
Morita theory
Noether's Theorem
Ramification
Skew brace
Stable extension
Teichmiller

512.55 / CHI

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