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The completion machinery works for ring homomorphisms but not for algebra homomorphisms (as far as I know). We use it to complete the ring homomorphism K -> L to a ring homomorphism K_v -> L_w. But we need that this is a K-algebra homomorphism. The sorry in adicCompletion_comap_algHom in the file FLT.DedekindDomain.FiniteAdeleRing.BaseChange is data, but the data is all created in adicCompletion_comap_ringHom, and the claim about it being an algebra hom is just a claim about how the map commutes with the K-action.
The text was updated successfully, but these errors were encountered:
The completion machinery works for ring homomorphisms but not for algebra homomorphisms (as far as I know). We use it to complete the ring homomorphism K -> L to a ring homomorphism K_v -> L_w. But we need that this is a K-algebra homomorphism. The sorry in
adicCompletion_comap_algHom
in the fileFLT.DedekindDomain.FiniteAdeleRing.BaseChange
is data, but the data is all created inadicCompletion_comap_ringHom
, and the claim about it being an algebra hom is just a claim about how the map commutes with the K-action.The text was updated successfully, but these errors were encountered: