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polynomials/fix category#38767

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vbraun merged 10 commits intosagemath:developfrom
mantepse:polynomials/fix_category
Oct 12, 2024
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polynomials/fix category#38767
vbraun merged 10 commits intosagemath:developfrom
mantepse:polynomials/fix_category

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@mantepse mantepse commented Oct 4, 2024 •
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We put polynomials (and friends) into the category of algebras with basis.

Dependencies: #38729

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Documentation preview for this PR (built with commit 6a5aece; changes) is ready! 🎉
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tscrim commented Oct 4, 2024

@nbruin @fchapoton @xcaruso cc-ing you in case you have some thoughts/comments about doing this.

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tscrim approved these changes Oct 10, 2024
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Since there are no comments, then positive review. (Something I've wanted to do for awhile, thank you!)

@vbraun vbraun merged commit 67e1892 into sagemath:develop Oct 12, 2024
@mantepse mantepse deleted the polynomials/fix_category branch October 13, 2024 08:42
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xcaruso commented Oct 17, 2024 •
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Thanks @tscrim for pointing this to me and sorry for not being reactive.
I actually do not have a strong opinion on this and I'm definitely happy with your positive review.

However, I should say that I'm quite confused with the dichotomy between the classes FreeModule and CombinatorialFreeModule. I think I understand that they support different kind of features: basically the former is more oriented towards linear algebra in finite dimension, while the former allows for infinite dimensional spaces, more abstract constructions (as tensor products, etc.) and custom names for elements in a basis. But, IMO, it's really a shame because we cannot having both at the same time.

Concretely, recently, I implemented Ore modules (see #38703) and was embarrassed by this. I finally chose to derive from FreeModule because I was interested in having submodules and quotients, two constructions which are more common in the class FreeModule. However, I was not entirely convinced.

Any thoughts about this? (Please answer in #38703 - and review this PR at the same time :-))

@mantepse mantepse mentioned this pull request Oct 17, 2024
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@mezzarobba mezzarobba mentioned this pull request Nov 26, 2024
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@mantepse mantepse mentioned this pull request Nov 27, 2024
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vbraun pushed a commit to vbraun/sage that referenced this pull request Dec 8, 2024
b5d7b78 
sagemathgh-39044: provide default argument for monomial_coefficients
    
This is a followup to sagemath#38767, where we put polynomials into the category
of modules with basis.  Back then, we missed the fact that
`monomial_coefficients` should take an optional argument `copy`, which
we fix here.

Fixes sagemath#39037
    
URL: sagemath#39044
Reported by: Martin Rubey
Reviewer(s): Marc Mezzarobba
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c: categories c: commutative algebra t: enhancement

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