3 papers
math.RA2025
Multiplier algebras and local units
Alfons Van Daele, Joost Vercruysse
Let be an algebra over any field. We do not assume that has an identity. The \emph{multiplier algebra} is a unital algebra associated to . If we require the produ…
math.QA2024
The Hopf category of Frobenius algebras
Paul GroÃkopf, Joost Vercruysse
We show that the universal measuring coalgebras between Frobenius algebras turn the category of Frobenius algebras into a Hopf category (in the sense of Batista-Caenepeel-Vercruyss…
math.NT2024
Correspondence theorems for infinite Hopf-Galois extensions
Hoan-Phung Bui, Joost Vercruysse, Gabor Wiese
This paper extends Hopf-Galois theory to infinite field extensions and provides a natural definition of subextensions. For separable (possibly infinite) Hopf-Galois extensions, it…