论文标题
HOPF代数的对应定理,并应用于仿射类固醇
Correspondence theorems for Hopf algebroids with applications to affine groupoids
论文作者
论文摘要
我们在任意的双晶型物中提供单方面的坐骨子环和单侧理想的双向坐骨之间的对应关系。我们证明,在某些预期的其他条件下,这种对应关系成为Hopf代数的培训。作为一种应用,我们研究了与正常仿射亚组的研究相关的交换性HOPF代数(仿射类方案)中的正常HOPF理想。
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.