Re: [sage-devel] Bits and pieces about Quotient Rings

2012-11-02 Thread Charles Bouillaguet
> Sure. So we have 4 (?) possible outcomes: > > 1. Inverse exists and we can compute it: return the inverse > 2. We can compute that the inverse does not exist: ZeroDivisionError > 3. We can compute that the inverse exists but cannot find the inverse: > NotImplementedError > 4. We cannot determ

Re: [sage-devel] Bits and pieces about Quotient Rings

2012-10-31 Thread Jeroen Demeyer
On 2012-10-29 16:39, Marco Streng wrote: > 2012/10/28 Charles Bouillaguet : >> Hi all, >> >> While playing with the quotient of a polynomial ring with an ideal, I >> encountered several glitches. >> >> *) Trying to compute the inverse of something which is not invertible. >> >> I know it is kind o

Re: [sage-devel] Bits and pieces about Quotient Rings

2012-10-31 Thread John Cremona
On 31 October 2012 13:39, Charles Bouillaguet wrote: > > > I think all that Marco meant was that for a general ring, there may be > > no algorithm to decide invertibility. In this ring, of course there > > is. > > Yes, but the NotImplemented exception was raised **in the case where a > Groebner

Re: [sage-devel] Bits and pieces about Quotient Rings

2012-10-31 Thread Charles Bouillaguet
> I think all that Marco meant was that for a general ring, there may be > no algorithm to decide invertibility. In this ring, of course there > is. Yes, but the NotImplemented exception was raised **in the case where a Groebner basis could be computed**, and I maintain that it is not the most

Re: [sage-devel] Bits and pieces about Quotient Rings

2012-10-30 Thread John Cremona
On 30 October 2012 13:38, Charles Bouillaguet wrote: > On Oct 29, 2012, at 4:39 PM, Marco Streng wrote: > > >> 2012/10/28 Charles Bouillaguet : >>> Hi all, >>> >>> While playing with the quotient of a polynomial ring with an ideal, I >>> encountered several glitches. >>> >>> *) Trying to compute

Re: [sage-devel] Bits and pieces about Quotient Rings

2012-10-30 Thread Charles Bouillaguet
On Oct 29, 2012, at 4:39 PM, Marco Streng wrote: > 2012/10/28 Charles Bouillaguet : >> Hi all, >> >> While playing with the quotient of a polynomial ring with an ideal, I >> encountered several glitches. >> >> *) Trying to compute the inverse of something which is not invertible. >> >> I know

Re: [sage-devel] Bits and pieces about Quotient Rings

2012-10-29 Thread Marco Streng
2012/10/28 Charles Bouillaguet : > Hi all, > > While playing with the quotient of a polynomial ring with an ideal, I > encountered several glitches. > > *) Trying to compute the inverse of something which is not invertible. > > I know it is kind of weird to try this. However, it raises a > NotImp

Re: [sage-devel] Bits and pieces about Quotient Rings

2012-10-28 Thread Justin C. Walker
On Oct 28, 2012, at 04:25 , Charles Bouillaguet wrote: > Hi all, > > While playing with the quotient of a polynomial ring with an ideal, I > encountered several glitches. > > *) Trying to compute the inverse of something which is not invertible. > > I know it is kind of weird to try this. Ho

[sage-devel] Bits and pieces about Quotient Rings

2012-10-28 Thread Charles Bouillaguet
Hi all, While playing with the quotient of a polynomial ring with an ideal, I encountered several glitches. *) Trying to compute the inverse of something which is not invertible. I know it is kind of weird to try this. However, it raises a NotImplementedError exception, instead of something m