#12876: Fix element and parent classes of Hom categories to be abstract, and
simplify the Hom logic.
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Reporter: nthiery | Owner: nthiery
Type: enhancement | Status: needs_review
Priority: major | Milestone: sage-5.4
Component: categories | Resolution:
Keywords: categories, Hom | Work issues: fix doctests and
segfaults
Report Upstream: N/A | Reviewers: Simon King
Authors: Nicolas M. Thiéry | Merged in:
Dependencies: #11521, #12215, #12313 | Stopgaps:
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Comment (by SimonKing):
I think implementing a `_an_element_` is easy enough that I can do it in
another reviewer patch. One thing doesn't work as described in the
documentation, though. It says that a homomorphism of Hecke algebras can
not only be obtained from a matrix (that works) but from an element of a
Hecke algebra (I suppose: An element of the codomain). However, this isn't
implemented.
I am not competent to implement it. So, I suggest that I start with
implementing `_an_element_`, try to use the category framework on these
homsets (i.e., define the Element attribute), and very important: Make the
homsets unique upon pickling. Namely:
{{{
sage: M = ModularForms(Gamma0(7), 4)
sage: H = Hom(M,M)
sage: H is loads(dumps(H))
False
}}}
so that by consequence several tests from the test suite fail.
--
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/12876#comment:62>
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