Correspondence theorems for Hopf algebroids with applications to affine groupoids

Autor: Kaoutit, Laiachi El, Ghobadi, Aryan, Saracco, Paolo, Vercruysse, Joost
Rok vydání: 2022
Předmět:
Zdroj: Canad. J. Math. (2023)
Druh dokumentu: Working Paper
DOI: 10.4153/S0008414X23000238
Popis: We provide a correspondence between one-sided coideal subrings and one-sided ideal two-sided coideals in an arbitrary bialgebroid. We prove that, under some expected additional conditions, this correspondence becomes bijective for Hopf algebroids. As an application, we investigate normal Hopf ideals in commutative Hopf algebroids (affine groupoid schemes) in connection with the study of normal affine subgroupoids.
Databáze: arXiv