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Galois Extensions for Coquasi-Hopf Algebras

✍ Scribed by Balan, Adriana


Book ID
127041237
Publisher
Taylor and Francis Group
Year
2010
Tongue
English
Weight
384 KB
Volume
38
Category
Article
ISSN
0092-7872

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πŸ“œ SIMILAR VOLUMES


Galois Extensions for Co-Frobenius Hopf
✍ M. Beattie; S. DΔƒscΔƒlescu; Ş. Raianu πŸ“‚ Article πŸ“… 1997 πŸ› Elsevier Science 🌐 English βš– 253 KB

For H an infinite dimensional co-Frobenius Hopf algebra over a field k, and A an H-comodule algebra, the smash product Aΰ »H \* r at is linked to the ring of coinvariants A c o H by a Morita context. We use the Morita setting to show that for co-Frobenius H, equivalent conditions for ArA c o H to be G

On Galois extension of Hopf algebras
✍ Guohua Liu; Shenglin Zhu πŸ“‚ Article πŸ“… 2007 πŸ› Coastal and Estuarine Research Federation 🌐 English βš– 139 KB
Galois Correspondences for Hopf Bigalois
✍ Peter Schauenburg πŸ“‚ Article πŸ“… 1998 πŸ› Elsevier Science 🌐 English βš– 228 KB

Let H be a Hopf algebra with bijective antipode over a commutative ring k. A right H-Galois extension of k is a right H-comodule algebra A such that k s A co H and a certain canonical map A m A Βͺ A m H is a bijection. We investigate Galois connections for Hopf᎐Galois extensions that can be formulate

Twistings and Hopf Galois Extensions
✍ Margaret Beattie; Blas Torrecillas πŸ“‚ Article πŸ“… 2000 πŸ› Elsevier Science 🌐 English βš– 183 KB

## A is also an H-comodule algebra, where the product ) is defined by a) b s Ž . Ýa a m b . In this note, we observe that there is a map of pointed sets from the 0 1 twistings of A to the H-measurings from A co H to A and study the set of twistings that map to the trivial measuring. If ArA co H is