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A NOTE ON IMBEDDINGS OF NON-COMMUTATIVE SEPARABLE EXTENSIONS IN GALOIS EXTENSIONS
, 2014 Throughout this paper, B will mean a ring with an identity 1 which is not necessarily commutative. For a separabl extension A/B in the sense of [6, page 115], if A/B is imbedded in a G-Galois extension N of B such that N/A is H-Galois for the subgroup H =
Takasi Nagahara
core
From Galois to Hopf Galois: theory and practice
Hopf Galois theory expands the classical Galois theory by con- sidering the Galois property in terms of the action of the group algebra k [ G ] on K/k and then replacing it by the action of a Hopf algebra. We review the case of separable extensions where
Crespo Vicente, Teresa +2 more
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The Separable Galois Theory of Commutative Rings
, 2014 The Separable Galois Theory of Commutative Rings, Second Edition provides a complete and self-contained account of the Galois theory of commutative rings from the viewpoint of categorical classification theorems and using solely the techniques of ...
Magid, Andy R
exaly +1 more source
Some of the next articles are maybe not open access.
Groups of Order 4p, Twisted Wreath Products and Hopf–Galois Theory
Journal of Algebra, 2007Timothy Kohl
exaly
Galois Theory in Separable Algebras Over Commutative Rings
Illinois Journal of Mathematics, 1966exaly
Separable Commutative Algebras and Galois Theory in Stable Homotopy Theories
Advances in MathematicsNiko Naumann
exaly