Use `HomalgMatrices` to optimize `AlgebroidsFromDataTables` over external rings

[kamalsaleh]

resolves https://github.com/homalg-project/CategoricalTowers/issues/565

bump version to v2024.08-02

[codecov[bot]]

Codecov Report

All modified and coverable lines are covered by tests :white_check_mark:

Project coverage is 76.05%. Comparing base (93a1f05) to head (0fa8be3). Report is 2 commits behind head on master.

Additional details and impacted files

```diff @@ Coverage Diff @@ ## master #569 +/- ## ========================================== - Coverage 76.06% 76.05% -0.02% ========================================== Files 391 391 Lines 58276 58235 -41 ========================================== - Hits 44328 44290 -38 + Misses 13948 13945 -3 ``` | [Flag](https://app.codecov.io/gh/homalg-project/CategoricalTowers/pull/569/flags?src=pr&el=flags&utm_medium=referral&utm_source=github&utm_content=comment&utm_campaign=pr+comments&utm_term=homalg-project) | Coverage Δ | | |---|---|---| | [Algebroids](https://app.codecov.io/gh/homalg-project/CategoricalTowers/pull/569/flags?src=pr&el=flag&utm_medium=referral&utm_source=github&utm_content=comment&utm_campaign=pr+comments&utm_term=homalg-project) | `76.03% <100.00%> (-0.06%)` | :arrow_down: | | [CatReps](https://app.codecov.io/gh/homalg-project/CategoricalTowers/pull/569/flags?src=pr&el=flag&utm_medium=referral&utm_source=github&utm_content=comment&utm_campaign=pr+comments&utm_term=homalg-project) | `83.54% <ø> (ø)` | | | [CategoriesWithAmbientObjects](https://app.codecov.io/gh/homalg-project/CategoricalTowers/pull/569/flags?src=pr&el=flag&utm_medium=referral&utm_source=github&utm_content=comment&utm_campaign=pr+comments&utm_term=homalg-project) | `89.28% <ø> (ø)` | | | [ExteriorPowersCategories](https://app.codecov.io/gh/homalg-project/CategoricalTowers/pull/569/flags?src=pr&el=flag&utm_medium=referral&utm_source=github&utm_content=comment&utm_campaign=pr+comments&utm_term=homalg-project) | `43.70% <ø> (ø)` | | | [FiniteCocompletions](https://app.codecov.io/gh/homalg-project/CategoricalTowers/pull/569/flags?src=pr&el=flag&utm_medium=referral&utm_source=github&utm_content=comment&utm_campaign=pr+comments&utm_term=homalg-project) | `92.44% <ø> (ø)` | | | [FpCategories](https://app.codecov.io/gh/homalg-project/CategoricalTowers/pull/569/flags?src=pr&el=flag&utm_medium=referral&utm_source=github&utm_content=comment&utm_campaign=pr+comments&utm_term=homalg-project) | `88.43% <ø> (ø)` | | | [FunctorCategories](https://app.codecov.io/gh/homalg-project/CategoricalTowers/pull/569/flags?src=pr&el=flag&utm_medium=referral&utm_source=github&utm_content=comment&utm_campaign=pr+comments&utm_term=homalg-project) | `65.30% <ø> (ø)` | | | [GradedCategories](https://app.codecov.io/gh/homalg-project/CategoricalTowers/pull/569/flags?src=pr&el=flag&utm_medium=referral&utm_source=github&utm_content=comment&utm_campaign=pr+comments&utm_term=homalg-project) | `86.57% <ø> (ø)` | | | [InternalModules](https://app.codecov.io/gh/homalg-project/CategoricalTowers/pull/569/flags?src=pr&el=flag&utm_medium=referral&utm_source=github&utm_content=comment&utm_campaign=pr+comments&utm_term=homalg-project) | `81.68% <ø> (ø)` | | | [IntrinsicCategories](https://app.codecov.io/gh/homalg-project/CategoricalTowers/pull/569/flags?src=pr&el=flag&utm_medium=referral&utm_source=github&utm_content=comment&utm_campaign=pr+comments&utm_term=homalg-project) | `82.55% <ø> (ø)` | | | [IntrinsicGradedModules](https://app.codecov.io/gh/homalg-project/CategoricalTowers/pull/569/flags?src=pr&el=flag&utm_medium=referral&utm_source=github&utm_content=comment&utm_campaign=pr+comments&utm_term=homalg-project) | `50.83% <ø> (ø)` | | | [IntrinsicModules](https://app.codecov.io/gh/homalg-project/CategoricalTowers/pull/569/flags?src=pr&el=flag&utm_medium=referral&utm_source=github&utm_content=comment&utm_campaign=pr+comments&utm_term=homalg-project) | `82.15% <ø> (ø)` | | | [LazyCategories](https://app.codecov.io/gh/homalg-project/CategoricalTowers/pull/569/flags?src=pr&el=flag&utm_medium=referral&utm_source=github&utm_content=comment&utm_campaign=pr+comments&utm_term=homalg-project) | `68.38% <ø> (ø)` | | | [Locales](https://app.codecov.io/gh/homalg-project/CategoricalTowers/pull/569/flags?src=pr&el=flag&utm_medium=referral&utm_source=github&utm_content=comment&utm_campaign=pr+comments&utm_term=homalg-project) | `86.12% <ø> (ø)` | | | [PreSheaves](https://app.codecov.io/gh/homalg-project/CategoricalTowers/pull/569/flags?src=pr&el=flag&utm_medium=referral&utm_source=github&utm_content=comment&utm_campaign=pr+comments&utm_term=homalg-project) | `89.78% <ø> (ø)` | | | [QuotientCategories](https://app.codecov.io/gh/homalg-project/CategoricalTowers/pull/569/flags?src=pr&el=flag&utm_medium=referral&utm_source=github&utm_content=comment&utm_campaign=pr+comments&utm_term=homalg-project) | `92.08% <ø> (ø)` | | | [SubcategoriesForCAP](https://app.codecov.io/gh/homalg-project/CategoricalTowers/pull/569/flags?src=pr&el=flag&utm_medium=referral&utm_source=github&utm_content=comment&utm_campaign=pr+comments&utm_term=homalg-project) | `81.25% <ø> (ø)` | | | [ToolsForCategoricalTowers](https://app.codecov.io/gh/homalg-project/CategoricalTowers/pull/569/flags?src=pr&el=flag&utm_medium=referral&utm_source=github&utm_content=comment&utm_campaign=pr+comments&utm_term=homalg-project) | `85.18% <ø> (ø)` | | | [Toposes](https://app.codecov.io/gh/homalg-project/CategoricalTowers/pull/569/flags?src=pr&el=flag&utm_medium=referral&utm_source=github&utm_content=comment&utm_campaign=pr+comments&utm_term=homalg-project) | `90.86% <ø> (ø)` | | | [ZariskiFrames](https://app.codecov.io/gh/homalg-project/CategoricalTowers/pull/569/flags?src=pr&el=flag&utm_medium=referral&utm_source=github&utm_content=comment&utm_campaign=pr+comments&utm_term=homalg-project) | `74.31% <ø> (ø)` | | Flags with carried forward coverage won't be shown. [Click here](https://docs.codecov.io/docs/carryforward-flags?utm_medium=referral&utm_source=github&utm_content=comment&utm_campaign=pr+comments&utm_term=homalg-project#carryforward-flags-in-the-pull-request-comment) to find out more.

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[mohamed-barakat]

Many thanks.