Flatness over PI coideal subalgebras
Rings and Algebras
2020-06-16 v1
Abstract
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.
Cite
@article{arxiv.2006.07878,
title = {Flatness over PI coideal subalgebras},
author = {Serge Skryabin},
journal= {arXiv preprint arXiv:2006.07878},
year = {2020}
}
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