Results 1 to 10 of about 6,184 (46)
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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PAC Fields over Finitely Generated Fields [PDF]
, 2007 We prove the following theorem for a finitely generated field $K$: Let $M$ be a Galois extension of $K$ which is not separably closed. Then $M$ is not PAC over $K$.Comment: 7 pages, Math.
Ben Omrane, Ines +3 more
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From Galois to Hopf Galois: theory and practice
, 2014 Hopf Galois theory expands the classical Galois theory by considering 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.
Crespo, Teresa +2 more
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Galois covers of the open p-adic disc
, 2011 This paper investigates Galois branched covers of the open $p$-adic disc and their reductions to characteristic $p$. Using the field of norms functor of Fontaine and Wintenberger, we show that the special fiber of a Galois cover is determined by ...
B. Green +10 more
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Totaro's question for G_2, F_4, and E_6
, 2004 In a 2004 paper, Totaro asked whether a G-torsor X that has a zero-cycle of degree d > 0 will necessarily have a closed etale point of degree dividing d, where G is a connected algebraic group.
Garibaldi, Skip, Hoffmann, Detlev
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Homogeneous spaces, algebraic $K$-theory and cohomological dimension of fields
, 2019 Let $q$ be a non-negative integer. We prove that a perfect field $K$ has cohomological dimension at most $q+1$ if, and only if, for any finite extension $L$ of $K$ and for any homogeneous space $Z$ under a smooth linear connected algebraic group over $L$,
Arteche, Giancarlo Lucchini +1 more
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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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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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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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