#10963: More functorial constructions
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Reporter: nthiery | Owner: nthiery
Type: enhancement | Status: new
Priority: major | Milestone:
Component: categories | Keywords:
Work_issues: | Upstream: N/A
Reviewer: | Author: Nicolas M. Thiéry
Merged: | Dependencies: #11224
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Description changed by nthiery:
Old description:
> The patch under development on the Sage-Combinat queue implements:
>
> - The algebra of a finite enumerated set is a finite dimensional algebra
> - Commutative additive semigroup and monoid algebras
> - 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
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Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/10963#comment:2>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica,
and MATLAB
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