#19518: Allow GroupAlgebra to be used as base ring of a PolynomialRing
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Reporter: etn40ff | Owner:
Type: enhancement | Status: needs_review
Priority: major | Milestone: sage-6.10
Component: group theory | Resolution:
Keywords: GroupAlgebra | Merged in:
PolynomialRing | Reviewers:
Authors: Salvatore Stella | Work issues:
Report Upstream: N/A | Commit:
Branch: | 491a1138d0b4c6cbce2f59de4cb769af879030e0
u/etn40ff/commutative_group_algebra| Stopgaps:
Dependencies: |
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Changes (by {'newvalue': u'Salvatore Stella', 'oldvalue': ''}):
* status: new => needs_review
* author: => Salvatore Stella
* component: PLEASE CHANGE => group theory
* keywords: => GroupAlgebra PolynomialRing
* commit: => 491a1138d0b4c6cbce2f59de4cb769af879030e0
* type: PLEASE CHANGE => enhancement
Old description:
New description:
The __init__ method of GroupAlgebra did not check for commutativity of the
group so that this would happen:
{{{
sage: G = AbelianGroup(2)
sage: A = GroupAlgebra(G)
sage: A.is_commutative()
True
sage: A.is_ring()
True
sage: PolynomialRing(A,'x,y')
TypeError: The base ring Group algebra of group "Multiplicative Abelian
group isomorphic to Z x Z " over base ring Integer Ring is not a
commutative ring
}}}
Moreover the init function of PolynomialRing needs the method
is_prime_field in
order to work.
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Ticket URL: <http://trac.sagemath.org/ticket/19518#comment:2>
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