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So we have an `Abelian` type and a `Commutative` typeclass, right? And categorically there's a forgetful functor from abelian groups to commutative monoids --- and that functor has a left adjoint, whi…
hrb90 updated
6 years ago
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I am working on adding definitions of modules and vector spaces. This will be defined as ring or field actions on abelian groups, with Ring_ZF_2 and Ring_ZF_3 as dependencies (hence recent changes to …
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Now that we have abelian categories in #1929, its time to think about how we can go proving various items in the toolbox of homological algebra.
We can prove the short 5-lemma and then the rest, bu…
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The following raises an exception at least on versions 8.7 and 8.9.beta1:
```python
G = AbelianGroup([3, 3])
H = G.subgroup([G.gen()])
H.subgroups()
[snip]
RuntimeError: Gap produced error output
E…
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This meta ticket keeps track of all the tickets related to `IntegralLattice` development.
Here a lattice is a ZZ-Module L isomorphic to `ZZ^n`, equipped with a non-degenerate, symmetric bilinear for…
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Labels are stored as text, but we'd like them to be sorted numerically (lexicographically). There's probably some fancy thing we could do with custom PostgreSQL types, but the simpler solution is to …
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We should generalise ExactSequence.v to work on any pointed wildcat with kernels which will generalise many things from pType to abelian categories, groups, spectra etc.
It might also be worth chec…
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Back in 2020 I wrote down a definition of spectral sequence in Mike's `spectral` branch:
```
https://github.com/HoTT/Coq-HoTT/commit/85774225b9319af566bca2b4be1d5ba0da42020f
```
it took values in …
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A lot of the theory of groups has been developed in `Algebra.Group`: subgroups, quotients, etc. Most of this will also apply to abelian groups.
However, at present, it is quite a pain to use these …
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In an application I would like to compute permutation representations automorphism groups of abelian groups. As far as I know, this is a hard problem, but I think it would be great if we would roughly…