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Definition of the K-algebra map prod_v K_v -> prod_w L_w #206

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kbuzzard opened this issue Nov 7, 2024 · 2 comments
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Definition of the K-algebra map prod_v K_v -> prod_w L_w #206

kbuzzard opened this issue Nov 7, 2024 · 2 comments
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@kbuzzard
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kbuzzard commented Nov 7, 2024

Previous work in the file FLT.DedekindDomain.FiniteAdeleRing.BaseChange gives maps K_v -> L_w on completions of fields of fractions of Dedekind domains at maximal ideals. The product of such maps should give us a K-algebra homomorphism from prod_v K_v to prod_w L_w. I've mis-stated this claim in the declaration ProdAdicCompletions.baseChange because I've acidentally made it a K-module map rather than a K-algebra map. The sorries in the latter declaration should be straightforward but what really should be done is that my error should be fixed and this declaration should be beefed up to a K-algebra map; this should also hopefully be easy for someone who knows the algebra API.

@github-project-automation github-project-automation bot moved this to Unclaimed in FLT Project Nov 7, 2024
@maddycrim
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claim

@kbuzzard kbuzzard moved this from Unclaimed to Claimed in FLT Project Nov 12, 2024
@kbuzzard
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kbuzzard commented Dec 4, 2024

This issue ran into some problems with Algebra instances (see here which have now been resolved; the revised issue is #232 .

@kbuzzard kbuzzard closed this as completed Dec 4, 2024
@github-project-automation github-project-automation bot moved this from Claimed to Completed in FLT Project Dec 4, 2024
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