Let L be a field which is a Galois extension of the field K with Galois w x group G. Greither and Pareigis GP87 showed that for many G there exist K-Hopf algebras H other than the group ring KG which make L into an Ε½ H-Hopf Galois extension of K or a Galois H \*-object in the sense of w x. Chase and
Hopf Galois theory for separable field extensions
β Scribed by Cornelius Greither; Bodo Pareigis
- Publisher
- Elsevier Science
- Year
- 1987
- Tongue
- English
- Weight
- 1009 KB
- Volume
- 106
- Category
- Article
- ISSN
- 0021-8693
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π SIMILAR VOLUMES
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 HopfαGalois extensions that can be formulate
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