#10963: Axioms and more functorial constructions
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Reporter: nthiery | Owner: stumpc5
Type: enhancement | Status: needs_review
Priority: major | Milestone: sage-6.2
Component: categories | Resolution:
Keywords: days54 | Merged in:
Authors: Nicolas M. Thiéry | Reviewers: Simon King, Frédéric
Report Upstream: N/A | Chapoton
Branch: | Work issues: To be merged
public/ticket/10963-doc- | simultaneously with #15801
distributive | Commit:
Dependencies: #11224, #8327, | 96fa89eaefdbb020d748e42ab23b9a7545621a14
#10193, #12895, #14516, #14722, | Stopgaps:
#13589, #14471, #15069, #15094, |
#11688, #13394, #15150, #15506, |
#15757, #15759, #16244 |
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Comment (by SimonKing):
The element methods of Algebras(...) used to provide a copy of
`sage.structure.element.AlgebraElement.__mul__` (implementing the coercion
framework), but now it is gone. Is this a wise decision? Generally I'd say
that one ''should'' start with `sage.structure.element.AlgebraElement`
when one is implementing elements of an algebra.
However, because of subtle bug in Cython, it is I think possible to create
a Python class inheriting from `sage.categories.map.Map` and
`sage.structure.element.AlgebraElement`, but then certain cdef attributes
of the two base classes will be confused (hence, the two base classes are
actually incompatible, but Cython does not notice).
Hence, there will be cases (such as endomorphism rings) where one has an
algebra formed by maps, and one can not use
`sage.structure.element.AlgebraElement` as a base class. It would then be
very handy if one could inherit coercion from the category's
element_class.
--
Ticket URL: <http://trac.sagemath.org/ticket/10963#comment:733>
Sage <http://www.sagemath.org>
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