Extend FreeModule factory to construction of FiniteRankFreeModule and CombinatorialFreeModule

[mkoeppe]

This is to improve discoverability of these implementations of free modules.

Follow-up:

• Add construction methods to FiniteRankFreeModule, CombinatorialFreeModule and Cartesian products #30235: Add construction methods to FiniteRankFreeModule and CombinatorialFreeModule

CC: @tscrim @nthiery @mjungmath @egourgoulhon

Component: linear algebra

Author: Matthias Koeppe

Branch/Commit: c23b9a4

Reviewer: Travis Scrimshaw

Issue created by migration from https://trac.sagemath.org/ticket/30194

[mkoeppe]

Description changed:

--- 
+++ 
@@ -1,5 +1,5 @@
 
 Follow-up:
-- extend sage.categories.pushout.VectorFunctor
+- extend `sage.categories.pushout.VectorFunctor`
 
 

[mkoeppe]

Branch: u/mkoeppe/extend_freemodule_factory_to_construction_of_finiterankfreemodule_and_combinatorialfreemodule

[sagetrac-git]

Commit: 549ebf3

[sagetrac-git]

Branch pushed to git repo; I updated commit sha1. New commits:

549ebf3

Create CombinatorialFreeModule if basis keys given

[sagetrac-git]

Changed commit from 549ebf3 to 88391a2

[sagetrac-git]

Branch pushed to git repo; I updated commit sha1. New commits:

88391a2

CombinatorialFreeModule: Add construction

[sagetrac-git]

Changed commit from 88391a2 to d7d1c14

[sagetrac-git]

Branch pushed to git repo; I updated commit sha1. This was a forced push. New commits:

2a81585	Draft
1fe1d3c	Create CombinatorialFreeModule if basis keys given
d7d1c14	CombinatorialFreeModule: Add construction

[sagetrac-git]

Branch pushed to git repo; I updated commit sha1. New commits:

69fea07	zero_vector: Handle bad input like zero_vector(3.6) before passing it to ZZ.__pow__
6d0fe39	FreeModule: SImplify argument handling

[sagetrac-git]

Changed commit from d7d1c14 to 6d0fe39

[mkoeppe]

Author: Matthias Koeppe

[sagetrac-git]

Changed commit from 6d0fe39 to 4d87237

[sagetrac-git]

Branch pushed to git repo; I updated commit sha1. New commits:

4d87237

src/sage/misc/sageinspect.py: Do not use FreeModule as an example for a class instance

[tscrim]

comment:9

I am happy with this change, but a lot more documentation is needed. Likely you will want to move most of the doc from the FreeModuleFactory.

[mkoeppe]

comment:10

Replying to @tscrim:

Likely you will want to move most of the doc from the FreeModuleFactory.

Yes, will do.