More support for finite dimensional modules and algebras with basis

[nthiery]

More support for finite dimensional modules and algebras with basis:

• Echelon form of list of vectors
• Submodules and quotients
• Example of a finite dimensional algebra with basis:
  the path algebra of the Kronecker quiver
• Category SemisimpleAlgebras(...)
• Finite group algebras are semisimple in characteristic 0
• Center, radical, and semisimple quotient of a finite dimensional algebra
• Annihilator
• Matrix and inverse of module morphisms
• Some more support for term orders in CombinatorialFreeModule
• map_support_skip_none in ModulesWithBasis

Depends on #8678

CC: @sagetrac-sage-combinat

Component: categories

Keywords: days20_5, days64, sd67

Author: Florent Hivert, Franco Saliola, Nicolas M. Thiéry

Branch: 7fb5d0c

Reviewer: Franco Saliola, Nicolas M. Thiéry, Aladin Virmaux

Issue created by migration from https://trac.sagemath.org/ticket/11111

[nthiery]

Changed author from Nicolas M. Thiéry to Florent Hivert, Franco Saliola, Nicolas M. Thiéry

[nthiery]

Description changed:

--- 
+++ 
@@ -1 +1 @@
-The patch under development on the Sage-Combinat queue will add generic features around morphisms, subspaces, quotients, ... for finite dimensional modules with basis.
+The patch under development on the Sage-Combinat queue will add generic features around morphisms, subspaces, quotients, ... for finite dimensional modules and algebras with basis.

[jdemeyer]

comment:2

Where is the patch?

[nthiery]

Description changed:

--- 
+++ 
@@ -1 +1,3 @@
-The patch under development on the Sage-Combinat queue will add generic features around morphisms, subspaces, quotients, ... for finite dimensional modules and algebras with basis.
+The patch under development on the Sage-Combinat queue adds generic features around morphisms, subspaces, quotients, ... for finite dimensional modules and algebras with basis.
+
+[http://combinat.sagemath.org/patches/file/tip/trac_11111-finite_dimensional_modules-nt.patch](http://combinat.sagemath.org/patches/file/tip/trac_11111-finite_dimensional_modules-nt.patch)

[nthiery]

Description changed:

--- 
+++ 
@@ -1,3 +1,18 @@
-The patch under development on the Sage-Combinat queue adds generic features around morphisms, subspaces, quotients, ... for finite dimensional modules and algebras with basis.
+More support for finite dimensional modules and algebras with basis:
 
+* Echelon form of list of vectors
+* Submodules and quotients
+* Example of a finite dimensional algebra with basis:
+  the path algebra of the Kronecker quiver
+* Category SemisimpleAlgebras(...)
+* Finite group algebras are semisimple in characteristic 0
+* Center, radical, and semisimple quotient of a finite dimensional algebra
+* Annihilator
+* Matrix and inverse of module morphisms
+* Some more support for term orders in CombinatorialFreeModule
+* map_support_skip_none in ModulesWithBasis
+
+
+The patch under development on the Sage-Combinat queue is close to completion
 [http://combinat.sagemath.org/patches/file/tip/trac_11111-finite_dimensional_modules-nt.patch](http://combinat.sagemath.org/patches/file/tip/trac_11111-finite_dimensional_modules-nt.patch)
+

[nthiery]

Dependencies: #10963