Abstract
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 Mathematical Society
Reference40 articles.
1. Rankin—Cohen Brackets and the Hopf Algebra of Transverse Geometry
2. [12] El Kaoutit, L. , Representative functions on discrete groupoids and duality with Hopf algebroids. Preprint, 2013. arXiv:1311.3109
3. [20] Goehle, G. , Groupoid crossed products. Ph.D. thesis, Dartmouth College, 2009.
4. On geometrically transitive Hopf algebroids