#15289: Implement indexed monoids
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Reporter: tscrim | Owner: sage-combinat
Type: enhancement | Status: needs_review
Priority: major | Milestone: sage-5.13
Component: algebra | Resolution:
Keywords: | Merged in:
Authors: Travis Scrimshaw | Reviewers:
Report Upstream: N/A | Work issues:
Branch: | Commit:
Dependencies: | Stopgaps:
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Old description:
> Implements free (abelian) monoids whose generators are indexed by an
> arbitrary set. This also moves common code from `CombinatorialFreeModule`
> into a new class `sage.misc.indexed_generators.IndexedGenerators`. With
> this we can now create (noncommutative) polynomials whose generators are
> given by a combinatorial object.
New description:
Implements free (abelian) monoids whose generators are indexed by an
arbitrary set. This also moves common code from `CombinatorialFreeModule`
into a new class `sage.misc.indexed_generators.IndexedGenerators`. With
this we can now create (noncommutative) polynomials whose generators are
given by a combinatorial object.
Also implements a very crude and basic version for groups.
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Comment (by tscrim):
Hey Nicolas,
I believe there is a ticket about making free abelian groups as
`ZZ`-modules, and another one about converting between additive and
multiplicative groups. However they currently don't apply to
`CombinatorialFreeModule`, and none of the tickets on
`CombinatorialFreeModule` would apply here as far as I remember.
Here's a new version which gives a groups version so we can do Laurent
polynomials. This is not are fancy as the discussion would like, but it
serves my purposes for now.
Best,[[BR]]
Travis
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Ticket URL: <http://trac.sagemath.org/ticket/15289#comment:3>
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