#16508: Add Commutative graded differential algebras.
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Reporter: mmarco | Owner:
Type: enhancement | Status: needs_review
Priority: major | Milestone: sage-6.3
Component: algebra | Resolution:
Keywords: sd58, algebras, | Merged in:
nonconmutative, graded | Reviewers:
Authors: mmarco | Work issues:
Report Upstream: N/A | Commit:
Branch: | 6a80cf5faaa4f1318f455969c9e0c8aa0d3092f1
u/mmarco/ticket/16508 | Stopgaps:
Dependencies: |
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Comment (by mmarco):
If you look at the code of SCA, it is just a function that:
1) Creates a Free Algebra
2) Creates a dictionary with the commutatitivty/anticommutativity
relations
3) Creates the corresponding g-algebra
4) Creates the ideal in the g-algebra generated by the squares of the odd
generators
5) returns the quotient of the g-algebra by the ideal
The result of this last operation is an object of type
QuoitientRing_nc_with_category, that basically wraps the corresponding
plural object.
Look:
{{{
sage: from sage.rings.polynomial.plural import SCA
sage: A=SCA(QQ,('x','y','z'),[0,1])
sage: type(A)
<class 'sage.rings.quotient_ring.QuotientRing_nc_with_category'>
sage: A.__module__
'sage.rings.quotient_ring'
}}}
QuotientRing_nc has no references to plural because it is created by
passing already plural objects (the g-algebra and the ideal in this case),
so it relies on the functionality that they provide.
--
Ticket URL: <http://trac.sagemath.org/ticket/16508#comment:17>
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