#15289: Implement indexed monoids
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Reporter: tscrim | Owner: sage-combinat
Type: enhancement | Status: needs_review
Priority: major | Milestone: sage-6.3
Component: algebra | Resolution:
Keywords: days54 | Merged in:
Authors: Travis Scrimshaw | Reviewers:
Report Upstream: N/A | Work issues:
Branch: | Commit:
public/monoids/15289-indexed | 73a4e48f890a31cafbf4e8d176ac69c3b3171cbb
Dependencies: #15309, #15169, | Stopgaps:
#16349 |
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Comment (by tscrim):
Hey Nicolas,
Thanks for getting back to this ticket. I know how hard it can be to find
time.
Replying to [comment:55 nthiery]:
> - Using `dict_addition` whenever meaningful
Done.
> - Implementing `Groups().Commutative().free()` rather than
`Groups().free(commutative=True)` now that #10963 is in (I can do that if
you want)
Done (now that #10963 is in; big yay!). I also cleaned up some of the
logic and made the `*.free()` always return the indexed monoid/group
except for `Groups.free(n, names)` since IMO (perhaps not-so-humble) the
indexed version is better since it's a proper parent and more general. I
can revert this if desired.
> - Putting index_set as first argument to the `free` methods to make the
following work properly:
> {{{
> sage: C.free([1,2,3])
> Free monoid indexed by None
> }}}
I had missed this somehow for monoids (but I had done it for groups).
> By the way, with no argument there should either be some reasonable
default, or an error:
> {{{
> sage: C.free()
> Free monoid indexed by None
> }}}
Now it raises an error.
> - Construction of the generators by `F(i)` (see [comment:37]).
I've made it a forbidden construction.
> - [comment:32]
I think we should just use `CombinatorialFreeModule` over `ZZ` for this,
or do you think it would be too heavy-handed? However I don't think it
would be difficult to do (following your comment).
Best,[[BR]]
Travis
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Ticket URL: <http://trac.sagemath.org/ticket/15289#comment:57>
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