#19397: Add support for homogeneous components of a filtered module
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Reporter: tscrim | Owner: sage-combinat
Type: enhancement | Status: needs_review
Priority: major | Milestone: sage-6.10
Component: categories | Resolution:
Keywords: | Merged in:
Authors: Travis Scrimshaw | Reviewers:
Report Upstream: N/A | Work issues:
Branch: | Commit:
public/categories/homogeneous_components-19397|
ae81aa7c64064ba8de5598aa01210efac57088c9
Dependencies: #17096 | Stopgaps:
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Comment (by jhpalmieri):
Is this a problem?
{{{
sage: A = GradedModulesWithBasis(ZZ).example()
sage: A.homogeneous_component(3).an_element() # not printed like
elements of A
3*B[[1, 1, 1]] + 3*B[[2, 1]] + B[[3]]
sage: a = A.homogeneous_component(3).an_element()
sage: a in A
False
}}}
Also, `A(a)` leads to a `NotImplementedError`. So once you have an element
in a homogeneous component, there isn't an obvious way to view it as an
element of the whole module.
--
Ticket URL: <http://trac.sagemath.org/ticket/19397#comment:4>
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