installed derivations for Abelian categories
- IsomorphismFromKernelOfCokernelToImageObject
- IsomorphismFromCoimageToCokernelOfKernel
This is a resurrection of https://github.com/homalg-project/CAP_project/pull/1196.
Codecov Report
Base: 76.75% // Head: 76.75% // No change to project coverage :thumbsup:
Coverage data is based on head (
95ca8cb) compared to base (95ca8cb). Patch has no changes to coverable lines.
:exclamation: Current head 95ca8cb differs from pull request most recent head 8c109da. Consider uploading reports for the commit 8c109da to get more accurate results
Additional details and impacted files
@@ Coverage Diff @@
## master #1211 +/- ##
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Coverage 76.75% 76.75%
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Files 494 494
Lines 60462 60462
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Hits 46405 46405
Misses 14057 14057
| Flag | Coverage Δ | |
|---|---|---|
| ActionsForCAP | 41.23% <0.00%> (ø) |
|
| AttributeCategoryForCAP | 86.34% <0.00%> (ø) |
|
| CAP | 81.85% <0.00%> (ø) |
|
| CartesianCategories | 92.69% <0.00%> (ø) |
|
| CompilerForCAP | 95.12% <0.00%> (ø) |
|
| ComplexesAndFilteredObjectsForCAP | 73.17% <0.00%> (ø) |
|
| DeductiveSystemForCAP | 25.48% <0.00%> (ø) |
|
| FreydCategoriesForCAP | 80.75% <0.00%> (ø) |
|
| GeneralizedMorphismsForCAP | 62.47% <0.00%> (ø) |
|
| GradedModulePresentationsForCAP | 44.57% <0.00%> (ø) |
|
| GroupRepresentationsForCAP | 49.72% <0.00%> (ø) |
|
| HomologicalAlgebraForCAP | 73.21% <0.00%> (ø) |
|
| InternalExteriorAlgebraForCAP | 40.24% <0.00%> (ø) |
|
| LinearAlgebraForCAP | 66.27% <0.00%> (ø) |
|
| ModulePresentationsForCAP | 68.93% <0.00%> (ø) |
|
| ModulesOverLocalRingsForCAP | 90.02% <0.00%> (ø) |
|
| MonoidalCategories | 87.00% <0.00%> (ø) |
|
| ToricSheaves | 21.79% <0.00%> (ø) |
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As just discussed verbally, I do not expect the current implementation to give something conceptionally different. And indeed, what this PR does simply corresponds to the rule UniqueRightDivide( HomalgIdentityMatrix( ... ), UniqueRightDivide( A, B ) ) ) = UniqueRightDivide( B, A ). Of course having this rule on a categorical level might be a good thing, but I think it would be interesting to first look at the suggestion above, which does something conceptionally different.
I agree