𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Monogenic Hopf algebras and local Galois module theory

✍ Scribed by Alan Koch

Publisher
Elsevier Science
Year
2003
Tongue
English
Weight
125 KB
Volume
264
Category
Article
ISSN
0021-8693

No coin nor oath required. For personal study only.

✦ Synopsis

Let K be an unramified extension of Q p , and denote the ring of integers of K by R = O K . Let H be an R-Hopf algebra with monogenic dual H

πŸ“œ SIMILAR VOLUMES

Galois theory and linear algebra
Galois theory and linear algebra
✍ Rod Gow; Rachel Quinlan πŸ“‚ Article πŸ“… 2009 πŸ› Elsevier Science 🌐 English βš– 124 KB

Let K be a field admitting a Galois extension L of degree n with Galois group G. Artin's lemma on the independence of characters implies that the algebra of K-linear endomorphisms of L is identical with the set of L-linear combinations of the elements of G. This paper examines some consequences of t

Weak Hopf Algebras: I. Integral Theory a
Weak Hopf Algebras: I. Integral Theory and C-Structure
✍ Gabriella BΓΆhm; Florian Nill; KornΓ©l SzlachΓ‘nyi πŸ“‚ Article πŸ“… 1999 πŸ› Elsevier Science 🌐 English βš– 324 KB

We give an introduction to the theory of weak Hopf algebras proposed as a coassociati¨e alternative of weak quasi-Hopf algebras. We follow an axiomatic approach keeping as close as possible to the ''classical'' theory of Hopf algebras. The emphasis is put on the new structure related to the presence

Duality and Rational Modules in Hopf Alg
Duality and Rational Modules in Hopf Algebras over Commutative Rings
✍ J.Y Abuhlail; J GΓ³mez-Torrecillas; F.J Lobillo πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 155 KB

Let A be an algebra over a commutative ring R. If R is noetherian and A β€’ is pure in R A , then the categories of rational left A-modules and right A β€’ -comodules are isomorphic. In the Hopf algebra case, we can also strengthen the Blattner-Montgomery duality theorem. Finally, we give sufficient con