论文标题
PI螺旋子代理上的平坦度
Flatness over PI coideal subalgebras
论文作者
论文摘要
在假设残留有限的尺寸HOPF代数H具有Artinian的分数环，因此证明H在满足多项式身份的任何权利的坐骨下骨上是一个平坦的模块，并且在任何多项式身份均具有忠实的扁平化模块。结果，我们发现了一大批HOPF代数，这些代数在所有坐骨亚代词上都呈平坦，并且在所有HOPF子代理上都忠实地平坦。
Under the assumption that a residually finite dimensional Hopf algebra H has an Artinian ring of fractions it is proved that H is a flat module over any right coideal subalgebra satisfying a polynomial identity and is faithfully flat over any polynomial identity Hopf subalgebra. As a consequence we find a large class of Hopf algebras which are flat over all coideal subalgebras and are faithfully flat over all Hopf subalgebras.
