Macaulay2 / Macaulay2/M2

mingens for PIDs

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#837 10 comments 0 reactions 0 assignees View on GitHub

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Core
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Macaulay2
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297
Avg merge
4d 20h
Merged PRs (30d)
11

Description

See the code below:

restart
R = ZZ[i]/(i^2+1)
I = ideal"5,i+2"
mingens I
-- returns | 5 i+2 |
minimalPresentation I
-- returns ideal (5, 5)

This shouldn't happen since the ring of Gaussian integers is a PID, but I'm assuming it's happening because i+2 is not homogeneous.

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Research direction

Reproduce the Gaussian-integer example using mingens and minimalPresentation, then inspect the entry points for how each handles the nonhomogeneous generator i+2. Determine the intended result for this PID case and add regression coverage showing that the two operations handle the ideal consistently.

Written by the indexing model from the issue text.

Assessment

Domain
tooling
Issue type
Bug
Difficulty
4/5
Estimated time
3-5 days
Activity status
Quiet
Clarity
Mostly clear
Newbie friendliness
48/100

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