Ticket #10708 (new defect)
Ideal dimension wrong, depends on term order.
|Reported by:||vbraun||Owned by:||malb|
|Component:||commutative algebra||Keywords:||Singular ideal dimension|
|Cc:||Bouillaguet, malb, mstreng||Work issues:|
The dimension of an ideal, that is the Krull dimension of the quotient R/I, does not depend on the monomial order. But
sage: P.<x,y> = PolynomialRing(QQ,order='neglex') sage: P.ideal(x).dimension() 1 sage: P.ideal(x-1).dimension() -1
I think this uses Singular "ls" ordering which is related to the localization at <x,y> though I have never used (or properly understood) that functionality in Singular.
Maybe we need to change the term order to a global one internally?
- Cc malb, mstreng added
- Owner changed from AlexGhitza to malb
- Component changed from algebra to commutative algebra