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Truman, PJ (2018) Commuting Hopf-Galois structures on a separable extension. Communications in Algebra, 46 (4). pp. 1420-1427. ISSN 0092-7872
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Commuting Hopf-Galois Structures - CIA.pdf - Accepted Version
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Official URL: http://www.tandfonline.com/doi/full/10.1080/009278...
Abstract
Let L/K be a finite separable extension of local or global fields in any characteristic, let H-1, H-2 be two Hopf algebras giving Hopf-Galois structures on the extension, and suppose that the actions of H-1, H-2 on L commute. We show that a fractional ideal B of L is free over its associated order in H-1 if and only if it is free over its associated order in H-2. We also study which properties these associated orders share.
Item Type: | Article |
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Additional Information: | “This is an Accepted Manuscript of an article published by Taylor & Francis in Communications in Algebra on 30/06/2017, available online: http://www.tandfonline.com/10.1080/00927872.2017.1346107.” |
Uncontrolled Keywords: | mathematics, associated order, Galois module structure, Hopf-Galois module theory, Hopf-Galois structure |
Subjects: | Q Science > QA Mathematics |
Divisions: | Faculty of Natural Sciences > School of Computing and Mathematics |
Depositing User: | Symplectic |
Date Deposited: | 18 Oct 2017 08:12 |
Last Modified: | 30 Jun 2018 01:30 |
URI: | https://eprints.keele.ac.uk/id/eprint/2698 |
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