✦ LIBER ✦

Hochschild cohomology on Hopf Galois extensions

✍ Scribed by Dragos Stefan

Publisher: Elsevier Science
Year: 1995
Tongue: English
Weight: 706 KB
Volume: 103
Category: Article
ISSN: 0022-4049
DOI: 10.1016/0022-4049(95)00101-2

No coin nor oath required. For personal study only.

📜 SIMILAR VOLUMES

Twistings and Hopf Galois Extensions

✍ Margaret Beattie; Blas Torrecillas 📂 Article 📅 2000 🏛 Elsevier Science 🌐 English ⚖ 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

Counting Hopf Galois Structures on Non-A

Counting Hopf Galois Structures on Non-Abelian Galois Field Extensions

✍ Scott Carnahan; Lindsay Childs 📂 Article 📅 1999 🏛 Elsevier Science 🌐 English ⚖ 93 KB

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 Ž H-Hopf Galois extension of K or a Galois H \*-object in the sense of w x. Chase and

Galois Correspondences for Hopf Bigalois

Galois Correspondences for Hopf Bigalois Extensions

✍ Peter Schauenburg 📂 Article 📅 1998 🏛 Elsevier Science 🌐 English ⚖ 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 ª A m H is a bijection. We investigate Galois connections for Hopf᎐Galois extensions that can be formulate

Equivalence Theorems and Hopf–Galois Ext

Equivalence Theorems and Hopf–Galois Extensions

✍ Claudia Menini; Monica Zuccoli 📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 299 KB

Hopf-Galois extensions and smash product

Hopf-Galois extensions and smash products

✍ Kenji Yokogawa 📂 Article 📅 1987 🏛 Elsevier Science 🌐 English ⚖ 648 KB

Galois Extensions for Co-Frobenius Hopf

Galois Extensions for Co-Frobenius Hopf Algebras

✍ M. Beattie; S. Dăscălescu; Ş. Raianu 📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 253 KB

For H an infinite dimensional co-Frobenius Hopf algebra over a field k, and A an H-comodule algebra, the smash product A࠻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