#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|  
8a747c073e706950d1b14e77458539e126ff0550
   Dependencies:                     |     Stopgaps:
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Comment (by jhpalmieri):

 Replying to [comment:64 tscrim]:
 > How is that any different for objects with multiple natural gradings?

 It's the same issue.

 > The main reason why I chose to use `grading` is so we don't have to
 duplicate all of the code for graded algebras but just replacing `degree`
 by `smallest_filtered_component` (or whatever name you want to call it).

 My main concern is that I want to be able to have a graded algebra with an
 additional filtration on it (ideally so that the associated graded algebra
 is bigraded). I think you said (or someone said) that this could be done
 with some reworking of the code in this branch. If that's accurate, then
 it seems like it would be better to have more flexible code that could
 handle this right from the start, instead of implementing it one way and
 then rewriting it later on.

--
Ticket URL: <http://trac.sagemath.org/ticket/17096#comment:67>
Sage <http://www.sagemath.org>
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