#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|
bb234ec71d1276c6cc14320074b3de6fdc606192
Dependencies: | Stopgaps:
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Changes (by tscrim):
* commit: ad184efacc9ceabfb1179ccd4d677786f4713b01 =>
bb234ec71d1276c6cc14320074b3de6fdc606192
* branch: public/categoires/filtered_algebras-17096 =>
public/categories/filtered_algebras-17096
Comment:
Replying to [comment:2 nthiery]:
> Of course, depending on the context, the converse convention can also
> sense; but maybe that's ok because eventually we will have both
> filtered and descendingFiltered (or something similar) categories.
>
> http://en.wikipedia.org/wiki/Filtration_%28mathematics%29
True, but I figured we'd cross that bridge when we have a need/desire for
it.
> This seems like the same situation as for quotients
> w.r.t. subquotients. So the same mechanism should do the job (see
> `sage.categories.quotients.Quotients.default_super_categories`). Please
> confirm!
Thanks. Done.
> I see the point. The inconvenient is of course that this makes the set
> of homogeneous elements for a given i not be a vector space. What do
> you do with 0 btw?
Raise an error as previously for graded objects saying it doesn't have a
well defined degree.
----
New commits:
||[http://git.sagemath.org/sage.git/commit/?id=bb234ec71d1276c6cc14320074b3de6fdc606192
bb234ec]||{{{Use default_super_categories instead of
extra_super_categories.}}}||
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Ticket URL: <http://trac.sagemath.org/ticket/17096#comment:3>
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