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Faithful flatness of Hopf algebras over coideal subalgebras with a conditional expectation

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Julien Bichon
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Abstract

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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hal-03936040 , version 1 (12-01-2023)

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Julien Bichon. Faithful flatness of Hopf algebras over coideal subalgebras with a conditional expectation. 2023. ⟨hal-03936040⟩
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