#10963: More functorial constructions
-------------------------------------+--------------------------------------
Reporter: nthiery | Owner: stumpc5
Type: enhancement | Status: needs_info
Priority: major | Milestone:
Component: categories | Resolution:
Keywords: | Work issues: Find dependencies.
Finite dimensional vector spaces
Report Upstream: N/A | Reviewers:
Authors: Nicolas M. Thiéry | Merged in:
Dependencies: #11224, #8327 | Stopgaps:
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Description changed by nthiery:
Old description:
> The patch under finalization on the Sage-Combinat queue implements:
>
> - Support for full subcategories defined by a predicate on the objects
> (Finite, Infinite, FiniteDimensional, Commutative, Graded, Facade),
> and joins thereof:
>
> {{{
> sage: Category.join([Groups(), Sets().Finite()])
> Category of finite groups
> sage: Category.join([Algebras(QQ).Finite(), Monoids().Commutative()])
> Join of Category of commutative algebras over Rational Field and
> Category of finite monoids
> }}}
>
> - More mathematical rules:
> - A subquotient of a finite set is a finite set
> - The algebra of a finite set is finite dimensional
> - The algebra of a commutative magma is commutative
> - Algebras of commutative additive semigroups and monoids
> - More documentation for IsomorphicObjects and other doc improvements
New description:
The patch under finalization on the Sage-Combinat queue implements:
- Support for full subcategories defined by a predicate on the objects
(Finite, Infinite, FiniteDimensional, Commutative, Graded, Facade),
and joins thereof:
{{{
sage: Category.join([Groups(), Sets().Finite()])
Category of finite groups
sage: Category.join([Algebras(QQ).Finite(), Monoids().Commutative()])
Join of Category of commutative algebras over Rational Field and
Category of finite monoids
}}}
- More mathematical rules:
- A subquotient of a finite set is a finite set
- The algebra of a finite set is finite dimensional
- The algebra of a commutative magma is commutative
- Algebras of commutative additive semigroups and monoids
- More documentation for IsomorphicObjects and other doc improvements
See http://combinat.sagemath.org/patches/file/tip/trac_10963
-more_functorial_constructions-nt.patch and follow ups.
--
--
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/10963#comment:11>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica,
and MATLAB
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