All Outputs (2)

Skew bracoids containing a skew brace (2025)
Journal Article
Colazzo, I., Koch, A., Martin-Lyons, I., & Truman, P. J. (2025). Skew bracoids containing a skew brace. Journal of Algebra and Its Applications, https://doi.org/10.1142/S021949882650235X

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 consequence of this correspondence is that skew bracoids in this fami... Read More about Skew bracoids containing a skew brace.

Skew Bracoids (2023)
Journal Article
Truman, P., & Martin-Lyons, I. (2024). Skew Bracoids. Journal of Algebra, 638, 751-787. https://doi.org/10.1016/j.jalgebra.2023.10.005

Skew braces are intensively studied owing to their wide ranging connections and applications. We generalize the definition of a skew brace to give a new algebraic object, which we term a \textit{skew bracoid}. Our construction involves two groups int... Read More about Skew Bracoids.