Lindsay N. Childs, Cornelius Greither, Kevin P. Keating, Alan Koch, Timothy Kohl
Sari: Mathematical Surveys and Monographs
(Ilmumisaeg: 11-Mar-2021, PDF+DRM, Kirjastus: American Mathematical Society, ISBN-13: 9781470467371)
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 and can be vie...Loe edasi...
(Ilmumisaeg: 15-Nov-2006, PDF+DRM, Kirjastus: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG, ISBN-13: 9783540475392)
The structure theory of abelian extensions of commutativerings is a subjectwhere commutative algebra and algebraicnumber theory overlap. This exposition is aimed at readerswith some background in either of these two fields. Emphasisis given...Loe edasi...
Lindsay N. Childs, Cornelius Greither, David J. Moss, Jim Sauerberg, Karl Zimmermann
Sari: Memoirs of the American Mathematical Society
(Ilmumisaeg: 01-Feb-1999, PDF+DRM, Kirjastus: American Mathematical Society, ISBN-13: 9781470402402)
This book gives two new methods for constructing p-elementary Hopf algebra orders over the valuation ring R of a local field K containing the p-adic rational numbers. One method constructs Hopf orders using isogenies of commutative degree 2 p...Loe edasi...
