7 citations · 15 across the 7 of their papers we have counts for
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Isotopy Quotients of Hopf Algebroids and the Fundamental Groupoid of Digraphs
Aryan Ghobadi
We build on our construction of Hopf algebroids from noncommutative calculi under the further assumption of surjectivity for the calculus. We also introduce the notions of Hopf ide…
Drinfeld Twists on Skew Braces
Aryan Ghobadi
We introduce the notion of Drinfeld twists for both set-theoretical YBE solutions and skew braces. We give examples of such twists and show that all twists between skew braces come…
Skew Braces as Remnants of Co-quasitriangular Hopf Algebras in
Aryan Ghobadi
Skew braces have recently attracted attention as a method to study set-theoretical solutions of the Yang-Baxter equation. Here, we present a new approach to these solutions by stud…
Hopf Algebroids, Bimodule Connections and Noncommutative Geometry
Aryan Ghobadi
We construct new examples of left bialgebroids and Hopf algebroids, arising from noncommutative geometry. Given a first order differential calculus on an algebra , with the…