#15801: Categories over a base ring category
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Reporter: nthiery | Owner:
Type: enhancement | Status: new
Priority: major | Milestone: sage-6.2
Component: categories | Resolution:
Keywords: | Merged in:
Authors: | Reviewers:
Report Upstream: N/A | Work issues:
Branch: | Commit:
Dependencies: | Stopgaps:
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Comment (by SimonKing):
As commented on #10963, I see some questions to be addressed.
If I understand correctly, we sometimes do want to specify the base
ring/field, and Volker says that this should be by a "mixin" category
(lets call it `FixedBaseRing(...)`) that simply is joined with the non-
specific category, say, `Algebras(Fields())`.
First complication: We not only have base rings, but (for bimodules) left
and right base rings. Should this be reflected in the "FixedBaseBla"
categories as well?
And another complication: We want to have categories expressing the fact
that a field (not just a ring) is acting on the objects, and then want to
compute the join. Is there an easy programmatic way to let an error be
raised when someone tries to compute the join "Algebras(Fields()) &
FixedBaseRing(ZZ)"?
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Ticket URL: <http://trac.sagemath.org/ticket/15801#comment:1>
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