#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):
For this situation, what about code like
{{{
try:
R = self.base_ring().homogeneous_component(0)
# or R = self.base_ring().base_ring()??
except AttributeError:
R = self.base_ring()
category = ModulesWithBasis(self.category().R)
}}}
This may end up calling `homogeneous_component` recursively, but
eventually that should end with an ungraded base ring.
Yes, I also agree that we need to allow for multiple possible gradings. I
think this has been discussed before. To construct a graded ring you
should specify a ring and a grading on it, and different gradings give
different graded rings.
--
Ticket URL: <http://trac.sagemath.org/ticket/19397#comment:9>
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