Let $H_1,\cdots, H_n$ be Hopf algebras over the field $\mathbb{Z}_p$, $p$ prime. Then the tensor product $$ \bigotimes_{i=1}^nH_i $$ is still an algebra over $\mathbb{Z}_p$. Is $ \otimes_{i=1}^nH_i $ still a Hopf algebra over $\mathbb{Z}_p$? How to obtain its product, unit, coproduct, augmentation, antipode from the products, units, coproducts, augmentations, antipodes of $H_1,\cdots,H_n$?
2026-03-28 22:31:15.1774737075
tensor products of Hopf algebras
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