#19397: Add support for homogeneous components of a filtered module
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Reporter: tscrim | Owner: sage-combinat
Type: enhancement | Status: needs_work
Priority: major | Milestone: sage-6.10
Component: categories | Resolution:
Keywords: | Merged in:
Authors: Travis Scrimshaw | Reviewers: John Palmieri
Report Upstream: N/A | Work issues:
Branch: | Commit:
public/categories/homogeneous_components-19397|
f89275b059b5dee1488feee46090596c157615c0
Dependencies: #17096 | Stopgaps:
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Comment (by SimonKing):
Replying to [comment:20 tscrim]:
> Yet another data point. I created a separate class and file for the new
category, and then set `FiniteDimensionalModulesWithBasis.Filtered` to
this new class (also now inheriting from `FilteredModulesCategory` by
following what `GradedHopfAlgebrasWithBasis` does). This now does not set
the correct category as
> {{{
> sage: (ModulesWithBasis(ZZ).Filtered().FiniteDimesnional()
> ....: != ModulesWithBasis(ZZ).FiniteDimesnional().Filtered())
> False
> }}}
Why is that not correct? If I understand correctly, one meta-axiom (i.e.,
an axiom for our axiom framework) is that application of axioms commutes.
Thus, if you have a category C and axioms A and B, then `C.A().B()` will
always be identical with `C.B().A()`.
--
Ticket URL: <http://trac.sagemath.org/ticket/19397#comment:21>
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