#17096: Implement categories for filtered algebras
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Reporter: tscrim | Owner: tscrim
Type: enhancement | Status: needs_review
Priority: major | Milestone: sage-6.4
Component: categories | Resolution:
Keywords: filtered algebras | Merged in:
Authors: Travis Scrimshaw | Reviewers:
Report Upstream: N/A | Work issues:
Branch: | Commit:
public/categories/filtered_algebras-17096|
b29f67e46e18721313330d3a6e116cf3df2eaf8e
Dependencies: | Stopgaps:
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Comment (by darij):
I have edited my latest reply.
In other news, is it guaranteed that every instance of
`FilteredAlgebrasWithBasis` is a subcategory of
`FilteredModulesWithBasis`? If so, I suggest moving the `ElementMethods`
`is_homogeneous`, `homogeneous_degree`, `degree` and `maximal_degree` out
of the algebras class and into the modules class (merging their doctests
in case both exist).
The associated-graded construction should also be defined for modules
rather than algebras; the algebras version should be a refinement that
additionally gives a multiplication and a unity. Can this be implemented
easily in your framework, Travis?
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Ticket URL: <http://trac.sagemath.org/ticket/17096#comment:36>
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