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Finite galois modules

✍ Scribed by A. F. Kryuchkov

Publisher
Springer US
Year
1981
Tongue
English
Weight
484 KB
Volume
17
Category
Article
ISSN
1573-8795

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πŸ“œ SIMILAR VOLUMES

Carlitz Modules and Galois Module Struct
Carlitz Modules and Galois Module Structure
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Let k be a one variable rational function field over a finite field. We construct an example of a wildly ramified abelian extension over k, whose integer ring is not free over its associated order.

Galois module structure of Tate modules
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✍ Martha Rzedowski-CalderΓ³n; Gabriel Villa Salvador; Manohar L. Madan πŸ“‚ Article πŸ“… 1997 πŸ› Springer-Verlag 🌐 French βš– 390 KB
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Carlitz Modules and Galois Module Structure II
✍ Akira Aiba πŸ“‚ Article πŸ“… 1998 πŸ› Elsevier Science 🌐 English βš– 282 KB

Let L#F be cyclotomic function fields of Carlitz. We show that if LΓ‚F is Carlitz Kummer, the integer ring O L is free over the associated order as in the classical cyclotomic Kummer extension. However, contrary to the characteristic zero case, O L is not free unless LΓ‚F is Carlitz Kummer.

On Modules Associated to Coalgebra Galoi
On Modules Associated to Coalgebra Galois Extensions
✍ Tomasz BrzeziΕ„ski πŸ“‚ Article πŸ“… 1999 πŸ› Elsevier Science 🌐 English βš– 255 KB

For a given entwining structure A, C involving an algebra A, a coalgebra C, C Ε½ . Ε½ . and an entwining map : C m A Βͺ A m C, a category M of right A, C -A modules is defined and its structure analysed. In particular, the notion of a ˜Ž . Ε½ . measuring of A, C to A, C is introduced, and certain functo