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math.RA2024★ 1 cited
Skew bracoids containing a skew brace
Ilaria Colazzo, Alan Koch, Isabel Martin-Lyons +1
Skew bracoids have been shown to have applications in Hopf-Galois theory. We show that a certain family of skew bracoids correspond bijectively with left cancellative semibraces. A…
math.RA2018★ 5 cited
The structure of Hopf algebras giving Hopf-Galois structures on Quaternionic extensions
Stuart Taylor, Paul J Truman
Let be a Galois extension of fields with Galois group isomorphic to the quaternion group of order . We describe all of the Hopf-Galois structures admitted by , an…