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Implementation of Ore modules #38703
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Quick question: why is it necessary that Also: love that you're creating these intermediate facilities that can be relevant in their own right, instead of just putting all of this in the implementation of Anderson motives. |
Well, it is not for the definition. But for the implementation, it is really useful as we want to represent the map |
Co-authored-by: Antoine Leudière <[email protected]>
Co-authored-by: Antoine Leudière <[email protected]>
Co-authored-by: Antoine Leudière <[email protected]>
Co-authored-by: Antoine Leudière <[email protected]>
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Here are some minor syntax mistakes in the doc.
Co-authored-by: Rubén Muñoz--Bertrand <[email protected]>
Co-authored-by: Rubén Muñoz--Bertrand <[email protected]>
Co-authored-by: Rubén Muñoz--Bertrand <[email protected]>
Co-authored-by: Rubén Muñoz--Bertrand <[email protected]>
Co-authored-by: Rubén Muñoz--Bertrand <[email protected]>
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Fix 11 E302 "expected 2 blank lines, found " errors of pycodestyle-minimal
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Fix another E302 "expected 2 blank lines, found " error of pycodestyle-minimal (sorry, blame the TGV's WiFi)
This PR implements modules over Ore polynomial rings.
More precisely, if$A[X;\theta,\partial]$ is a Ore polynomial ring, we propose an implementation of finite free modules $M$ over $A$ equipped with a map $f : M \to M$ such that $f(ax) = \theta(a) f(x) + \partial(a) x$ for all $a \in R$ and $x \in M$ .$A[X;\theta,\partial]$ (the map $f$ corresponding to the multiplication by $X$ ).
Such a map is called pseudolinear and it endows
M
with a structure of module overThis PR includes:
This is the second step (after PR #38650) towards the implemetation of Anderson motives.
📝 Checklist
⌛ Dependencies
#38650: pseudomorphisms