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K-Theory, 1994
The authors construct a certain Hopf algebra associated with a commutative Galois extension in order to obtain a Galois correspondence between intermediate subalgebras of a Hopf-Galois extension and corresponding Hopf subalgebras.
Van Oystaeyen, Freddy, Zhang, Y.
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GALOIS CORRESPONDENCES FOR PARTIAL GALOIS AZUMAYA EXTENSIONS

Journal of Algebra and Its Applications, 2011
Let α be a partial action, having globalization, of a finite group G on a unital ring R. Let Rα denote the subring of the α-invariant elements of R and CR(Rα) the centralizer of Rα in R. In this paper we will show that there are one-to-one correspondences among sets of suitable separable subalgebras of R, Rα and CR(Rα). In particular, we extend to the
Paques, Antonio +2 more
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Gradings of Galois Extensions

Journal of Mathematical Sciences
This paper deals with the gradings of finite field extensions in which all homogeneous components are one-dimensional. Such gradings are called \textit{fine}. Kummer extensions, obtained by adjoining roots of elements from the base field, admit a natural grading based on the Galois group, and all homogeneous components are one-dimensional in this case.
Badulin, D. A., Kanunnikov, A. L.
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On Galois extension of Hopf algebras

Chinese Annals of Mathematics, Series B, 2007
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Liu, Guohua, Zhu, Shenglin
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computer science
discrete mathematics
galois module

algebra over a field
programming language
galois theory

embedding problem
physics
fundamental theorem of galois theory