Hopf代数群的对应定理及其在仿射群上的应用

Pub Date : 2022-11-14 DOI:10.4153/s0008414x23000238

L. EL KAOUTIT, Aryan Ghobadi, P. Saracco, J. Vercruysse

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引用次数: 1

摘要

给出了任意双代数面单侧共理想子与单侧理想双侧共理想的对应关系。我们证明了在一些期望的附加条件下，这种对应对于Hopf代数群是双目标的。作为一个应用，我们结合正规仿射子群的研究，研究了可交换Hopf代数群(仿射群形格式)中的正规Hopf理想。

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Correspondence theorems for Hopf algebroids with applications to affine groupoids

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.

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