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Hopf Galois theory of separable field extensions [PDF]

, 2016
Hopf Galois theory is a generalization of Galois theory. Galois theory gives a bijective correspondence between intermediate fields of a Galois field extension (normal and separable) and subgroups of the Galois group. Hopf Galois theory substitutes the Galois group by a Hopf algebra.
Salguero Garcı́a, Marta
core   +9 more sources

Hopf Galois theory for separable field extensions

Journal of Algebra, 1987
The concept of an extension \(S\supseteq R\) of commutative rings being an \(H\)-Galois extension for some Hopf \(R\)-algebra \(H\) has been available since the work of \textit{S. U. Chase} and \textit{M. E. Sweedler} [Hopf algebras and Galois theory. Lect. Notes Math. 97.
Pareigis, Bodo, Greither, C.
openaire   +5 more sources

Correspondence theorems in Hopf-Galois theory for separable field extensions [PDF]

, 2020
La théorie de Galois a eu un impact sur les mathématiques plus important que ce qu'elle laissait présager au départ. Son résultat le plus important est le théorème de correspondance qui s'énonce de la manière suivante :si L/K est une extension de corps finie galoisienne et si G = Gal(L/K) est son groupe de Galois, alors il existe une correspondance ...
openaire  

On the hopf galois theory for separable field extensions

Communications in Algebra, 1989
(1989). On the hopf galois theory for separable field extensions. Communications in Algebra: Vol. 17, No. 4, pp. 809-825.
Lindsay Nathan Childs
openaire   +3 more sources

An Extension of Galois Theory to Non-Normal and Non-Separable Fields

American Journal of Mathematics, 1944
Not ...
openaire   +2 more sources

On Frobenius and Separable Galois Cowreaths

Mathematische Zeitschrift, 2021
Torrecillas Jover, Blas, D Bulacu
exaly  

Commuting Hopf–Galois Structures on a Separable Extension

Communications in Algebra, 2018
Paul J. Truman
exaly  

Galois Theory, Splitting Fields and Computer Algebra

Journal of Symbolic Computation, 2006
Gema M Díaz-Toca
exaly  

On Hopf Galois Extension of Separable Algebras

Chinese Annals of Mathematics Series B, 2017
exaly  

The Galois Map and Its Induced Maps

2012
George Szeto
exaly