Faithful flatness of Hopf algebras over coideal subalgebras with a conditional expectation
Résumé
Let $H$ be a Hopf algebra and let $A\subset H$ be a right coideal subalgebra. We show that if $A$ is a direct summand in $H$ as a right $A$-module, then $H$ is faithfully flat as a right $A$-module.
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