@misc{10481/98619, year = {2024}, url = {https://hdl.handle.net/10481/98619}, abstract = {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.}, publisher = {Canadian Journal of Mathematics. Cambridge University Press on behalf of The Canadian Mathematical Society. .}, title = {Correspondence theorems for Hopf algebroids with applications to affine groupoids}, doi = {http://dx.doi.org/10.4153/S0008414X23000238}, author = {El Kaoutit Zerri, Laiachi and Ghobadi, Aryan and Saracco, Paolo and Vercruysse, Joost}, }