论文标题
Noetherian Hopf代数的平坦度在螺旋内亚词架上
Flatness of Noetherian Hopf algebras over coideal subalgebras
论文作者
论文摘要
在论文中证明，赛马利亚的剩余尺寸HOPF代数是在任何右noetherian -Noether右坐骨亚距离上的平坦模块。对于Hopf次级词架，我们会获得忠实的平坦度。这些结果是通过验证这些代数的经典商环的存在而获得的。还证明，右或左诺瑟式剩余尺寸的hopf代数的对抗是二元的。结果，这样的HOPF代数同时是右和左no。
It is proved in the paper that a Noetherian residually finite dimensional Hopf algebra is a flat module over any right Noetherian right coideal subalgebra. In the case of Hopf subalgebras we get faithful flatness. These results are obtained by verifying the existence of the classical quotient rings of those algebras. It is also proved that the antipode of either right or left Noetherian residually finite dimensional Hopf algebra is bijective. As a consequence, such a Hopf algebra is right and left Noetherian simultaneously.
