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Add support for pseudomorphisms #38650

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@xcaruso xcaruso commented Sep 12, 2024

This PR implements pseudomorphisms.

Let $M, M'$ be modules over a ring $R$, $\theta: R \to R$ be a ring homomorphism, and $\delta: R \to R$ be a $\theta$-derivation, which is a map such that $\delta(xy) = \theta(x)\delta(y) + \delta(x)y$.
A pseudomorphism $f : M \to M$ is an additive map such that $f(\lambda x) = \theta(\lambda)f(x) + \delta(\lambda) x$ for all $\lambda$ and $x$.

This PR is based on a former PR by @ymusleh (that I could not find, I don't know why).

📝 Checklist

  • The title is concise and informative.
  • The description explains in detail what this PR is about.
  • I have linked a relevant issue or discussion.
  • I have created tests covering the changes.
  • I have updated the documentation and checked the documentation preview.

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github-actions bot commented Sep 12, 2024

Documentation preview for this PR (built with commit 1db04c2; changes) is ready! 🎉
This preview will update shortly after each push to this PR.

@xcaruso xcaruso mentioned this pull request Sep 23, 2024
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@xcaruso xcaruso requested a review from kryzar September 23, 2024 16:35
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xcaruso commented Nov 14, 2024

There seems to be a genuine doctest failure in CI.

Yes. I committed some changes in the file matrix_cdv.pyx by mistake (it was a work in progress for another PR). Sorry for this.

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xcaruso commented Nov 17, 2024

I tried to fix the test suite. Doing this, I noticed some problems with categories; they are now fixed.

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xcaruso commented Feb 11, 2025

@kryzar Please tell me if you have some comment on this PR.

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Here are some suggestions to enhance the doc:

src/sage/modules/free_module_pseudohomspace.py Outdated Show resolved Hide resolved
src/sage/modules/free_module_pseudohomspace.py Outdated Show resolved Hide resolved
src/sage/modules/free_module.py Show resolved Hide resolved
@xcaruso xcaruso added the sd128 tickets of Sage Days 128 Le Teich label Feb 13, 2025
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4 participants