Truman, PJ (2018) Commutative Hopf-Galois module structure of tame extensions. Journal of Algebra, 503. pp. 389-408. ISSN 0021-8693

[img] Text
P Truman - Communtative Hopf-Galois module structure of tame extensions.pdf - Accepted Version
Restricted to Repository staff only until 14 February 2019.
Available under License Creative Commons Attribution Non-commercial.

Download (302kB)

Abstract

We prove three theorems concerning the Hopf-Galois module structure of fractional ideals in a finite tamely ramified extension of p-adic fields or number fields which is H-Galois for a commutative Hopf algebra H. Firstly, we show that if L/K is a tame Gable extension of p-adic fields then each fractional ideal of L is free over its associated order in H. We also show that this conclusion remains valid if L/K is merely almost classically Galois. Finally, we show that if L/K is an abelian extension of number fields then every ambiguous fractional ideal of L is locally free over its associated order in H. (C) 2018 Elsevier Inc. All rights reserved.

Item Type: Article
Additional Information: This is the accepted author manuscript (AAM). The final published version (version of record) is available online via Elsevier at http://dx.doi.org/10.1016/j.jalgebra.2018.01.047 - please refer to any applicable terms of use of the publisher.
Uncontrolled Keywords: Hopf-Galois structure, Hopf-Galois module theory, Galois module structure, Associated order
Subjects: Q Science > QA Mathematics
Divisions: Faculty of Natural Sciences > School of Computing and Maths
Depositing User: Symplectic
Date Deposited: 15 Feb 2018 10:33
Last Modified: 02 May 2018 09:17
URI: http://eprints.keele.ac.uk/id/eprint/4464

Actions (login required)

View Item View Item