kernel of ringmap should remember its Groebner basis
- Dominant language
- Macaulay2
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- 435
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- 4d 20h
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Description
The following example shows that kernel is not remembering its Groebner basis. But I think that it can do so.
```
S = ZZ/101[s,t]
R = ZZ/101[a..d]
gbTrace=3
phi = map(S,R,{s^4, s^3*t, s*t^3, t^4})
I = ker phi
gens gb I
```
The method used is to make a ring with both sets of variables, then compute a Groebner basis, then select the elements that are in the subring. These form a Groebner basis, but we should use `forceGB` to remember this fact.
Related: #527
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Research direction
Start by running the supplied ZZ/101 example and tracing the kernel of the ring map through the Groebner-basis computation. Investigate how forceGB is used for computed bases; done means the resulting kernel retains its Groebner basis so gens gb I does not recompute it.
Written by the indexing model from the issue text.
Assessment
- Domain
- backend
- Issue type
- Bug
- Difficulty
- 4/5
- Estimated time
- 3-5 days
- Activity status
- Quiet
- Clarity
- Mostly clear
- Newbie friendliness
- 45/100