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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
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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.
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Correspondence theorems in Hopf-Galois theory for separable field extensions
, 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 ...
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Systems of Precision: Coherent Probabilities on Pre-Dynkin Systems and Coherent Previsions on Linear Subspaces. [PDF]
Entropy (Basel), 2023 Derr R, Williamson RC.
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On the Mordell-Weil lattice of y 2 = x 3 + b x + t 3 n + 1 in characteristic 3. [PDF]
Res Number Theory, 2022 Leterrier G.
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Curves, dynamical systems, and weighted point counting. [PDF]
Proc Natl Acad Sci U S A, 2013 Cornelissen G.
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Matching biomedical ontologies based on formal concept analysis. [PDF]
J Biomed Semantics, 2018 Zhao M, Zhang S, Li W, Chen G.
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SPLITTING OF VALUATIONS IN EXTENSIONS OF LOCAL DOMAIN II. [PDF]
Proc Natl Acad Sci U S A, 1955 Abhyankar S.
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