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The commutator Hopf Galois extensions.
2019Summary: Let \(H\) be a finite dimensional Hopf algebra over a field \(k\) and let \(H^*\) be the dual Hopf algebra of \(H\). Then a commutator right \(H^*\)-Galois extension \(B\) of \(B^H\) is characterized in terms of the smash product \(B\#H\). Some relationships between such extensions and the Hopf Galois Azumaya extensions or the Hopf Galois ...
Szeto, G., Xue, L.
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On Dynamical Galois Extensions
Communications in Algebra, 2012In the theory of dynamical Yang–Baxter equation, with any Hopf algebra H, a certain H-module, and H-comodule algebra L (base algebra) one can associate a monoidal category. Given an algebra A in that category, one can construct an associative algebra A ⋊ L, which is a generalization of the ordinary smash product when A is an ordinary H-algebra.
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Noncommutative Galois Extension and Graded q-Differential Algebra
Advances in Applied Clifford Algebras, 2015Viktor Abramov
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Honda Formal Module in an Unramified p-Extension of a Local Field as a Galois Module
Vestnik St Petersburg University: Mathematics, 2019S V Vostokov
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The Invariant Subrings of an Azumaya Galois Extension
Southeast Asian Bulletin of Mathematics, 2003George Szeto
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